{"id":148,"date":"2014-11-25T18:47:01","date_gmt":"2014-11-25T18:47:01","guid":{"rendered":"https:\/\/dma.uvigo.es\/~angelsc\/?page_id=148"},"modified":"2026-05-11T08:09:17","modified_gmt":"2026-05-11T08:09:17","slug":"publicaciones","status":"publish","type":"page","link":"https:\/\/dma.uvigo.es\/~rgon\/publicaciones\/","title":{"rendered":"Publicaciones"},"content":{"rendered":"

ORCID ID: 0000-0003-3061-6685<\/a><\/span><\/h3>\n

Scopus Author ID: 6602253957<\/span><\/a><\/h3>\n
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Web of Science ResearcherID:<\/b>\u00a0\u00a0<\/i>ABE-3135-2020<\/a><\/span><\/h3>\n<\/div>\n

Google Scholar: Link<\/span><\/a><\/h3>\n

Portal Cient\u00edfico UVigo: Link<\/span><\/a><\/h3>\n

Libros \/ Books<\/span><\/h2>\n

1.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R. La sucesi\u00f3n exacta Pic(C) —> Pic(D) —> K1A(F) —> B(C) —> B(D) en categor\u00edas cerradas. Aplicaci\u00f3n a la teor\u00eda de invariantes relativos de haces de m\u00f3dulos. \u00c1lxebra 60<\/strong><\/span>. Departamento de \u00c1lgebra. Universidad de Santiago de Compostela (1995). D.L. C-1594-95. ISBN: 84-920864-0-8.<\/p>\n

Art\u00edculos sometidos y prepublicaciones \/ Preprints<\/span><\/h2>\n

1.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: Adjoint actions and quantum commutativity (2015)<\/strong><\/span>. Link.<\/span><\/strong><\/a><\/p>\n

2.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Integrals and crossed products over weak Hopf algebras (2013)<\/strong><\/span>. \u00a0 arXiv:1207.5363<\/a><\/strong>\u00a0(this paper is the preliminary version of 39<\/strong>)<\/span><\/span><\/p>\n

3.<\/strong> Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Rodr\u00edguez Raposo A. B.: Iterated weak crossed products. arXiv:1503.01585<\/a><\/span><\/strong> \u00a0(2017)<\/strong><\/span>. Modified version: Link.<\/span><\/strong><\/a><\/p>\n

4. <\/strong>Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0Distributive laws and Hopf quasigroups \u00a0arXiv:2402.02965v2<\/span><\/a> \u00a0<\/strong>(2025)<\/span><\/strong>.<\/p>\n

5.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Ramos P\u00e9rez, B., Rodr\u00edguez Raposo, A.B.: On modules over a Hopf brace, arXiv:2603.22932 <\/a><\/span><\/strong>\u00a0(2026)<\/span><\/strong>.<\/p>\n

6<\/strong>. Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Ramos P\u00e9rez, B.:\u00a0<\/span>Opposite brace triples, Hopf braces and matched pairs of Hopf algebras<\/span>,\u00a0<\/span>arXiv:2605.07497<\/span><\/strong>\u00a0<\/span><\/a>(2026)<\/span><\/strong>.<\/span><\/p>\n

Art\u00edculos en prensa \/ Articles in press<\/strong><\/span><\/h2>\n

1.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R.: Weak\u00a0 Hopf quasigroups\u00a0 and matched pairs of quasigroupoids, Journal of Algebra<\/strong> and its Applications \u00a0<\/strong><\/span>(2026).\u00a0 Link, <\/span><\/a><\/span><\/span><\/strong>\u00a0\u00a0arXiv:2403.09231<\/span><\/a><\/strong><\/span><\/p>\n

2. <\/strong>Gonz\u00e1lez Rodr\u00edguez, R.: Distributive laws in non associative setting, Springer Proceedings in Mathematics & Statistics<\/span><\/strong> (Functor and Tensor Categories, Models, and Systems<\/span><\/strong>) (2026)<\/span><\/strong>. Link.<\/span><\/strong><\/a><\/span><\/p>\n

Art\u00edculos \/ Articles \u00a0———— Reviews in Mathscinet <\/span><\/a>———— zbMATH Open<\/a><\/span><\/strong><\/span><\/h2>\n

82. <\/strong>Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B.: About Hopf braces and crossed products, Sao Paulo Journal of Mathematical Sciences, <\/span><\/strong>20, article number 11, <\/span>(2026). Link<\/a>,\u00a0 <\/span>arXiv:2502.20919 <\/span><\/a><\/span><\/strong><\/p>\n

81. <\/strong>Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B.: Categorical isomorphisms for Hopf braces Hacettepe Journal of Mathematics and Statistics\u00a0 <\/span><\/strong>54, No 5, 1872-1896 (2025).<\/span><\/strong> Link<\/a><\/span>,\u00a0<\/strong><\/span>arXiv:2311.05235<\/a><\/span><\/strong><\/p>\n

80.<\/strong> Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B.: Relative Rota-Baxter operators, modules and projections\u00a0 Czechoslovak Mathematical Journal<\/span><\/strong> 75, No 150, 865-913 (2025)<\/span><\/strong>. Link,<\/strong><\/span><\/a> arXiv:2406.12782<\/strong><\/span><\/a>\u00a0<\/span><\/p>\n

79. <\/strong>\u00a0Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Rodr\u00edguez Raposo, A.B.: Categorical equivalences for Hopf trusses\u00a0 and their modules, Rendiconti\u00a0 del\u00a0 Circolo Matematico di Palermo. Series 2<\/strong><\/span> 74, No 5, 155 (23 p\u00e1g.) (2025). Link, <\/span><\/a><\/span><\/strong>\u00a0arXiv:2312.06520<\/a><\/strong><\/span><\/p>\n

78. <\/strong>Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B., Rodr\u00edguez Raposo, A.B.: Projections of Hopf braces Communications in Algebra<\/strong><\/span>\u00a053, No 7, 3008-3045, (2025). <\/span><\/strong>\u00a0Link,<\/span><\/strong><\/a>\u00a0\u00a0arXiv:2404.12231<\/strong><\/span><\/a>\u00a0<\/span><\/p>\n

77. <\/strong>Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B.: Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),<\/span><\/strong><\/span> 21, No 24, 36 pages\u00a0(2025)<\/span><\/strong>.\u00a0 \u00a0Link<\/a>, <\/span><\/strong>\u00a0arXiv:2402.016704<\/span><\/a><\/strong><\/p>\n

76. <\/strong>Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B.: Hopf bracoids Communications in Algebra<\/strong><\/span>,\u00a0 53, No 3, 959-982 (2025)<\/span><\/strong>. \u00a0<\/span><\/span>Link,\u00a0 \u00a0<\/span><\/a><\/span><\/strong>arXiv:2401.02925<\/span><\/a>\u00a0<\/strong><\/p>\n

75.<\/strong> Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Ramos P\u00e9rez, B., Rodr\u00edguez Raposo, A.B.: Modules over invertible 1-cocycles Turkish\u00a0 Journal of Mathematics<\/strong><\/span> 48, 248-266 (2024)<\/span><\/strong>. Link,<\/strong><\/span><\/a> \u00a0arXiv:2311.05233<\/a><\/span>\u00a0<\/strong><\/p>\n

74.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R.: Factorizations of\u00a0 Hopf quasigroups\u00a0 Publicationes Mathematicae Debrecen<\/strong><\/span> 104, No 1-2, 195-219 (2024). Link<\/span><\/a><\/span><\/strong>.<\/span><\/p>\n

73.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R.: Natural transformations for quasigroupoids Georgian Mathematical Journal<\/strong><\/span> 30(4),\u00a0 523\u2013538 (2023)<\/span>. Link.<\/span><\/a><\/strong><\/p>\n

72.<\/strong> Alonso \u00c1lvarez, J.N.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.: Functors for Long dimodules and Yetter-Drinfeld modules in a weak setting Rendiconti del Seminario Matematico della Universit\u00e0 di Padova<\/strong> <\/span>150, 247\u2013266 (2023). <\/strong><\/span>Link.<\/span><\/strong><\/a><\/p>\n

71. <\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Cocycle deformations for weak Hopf algebras Filomat<\/strong><\/span> 37, No. 26, 8725-8745 <\/span>(2023)<\/span><\/strong>. Link.<\/span><\/strong><\/a><\/p>\n

70. <\/strong>Gonz\u00e1lez Rodr\u00edguez, R.: The fundamental theorem of Hopf modules for Hopf braces Linear and Multilinear Algebra<\/strong><\/span> 70, No. 20, 5146-5156 <\/span>(2022)<\/span><\/strong>. Link.<\/strong><\/span><\/a><\/p>\n

69.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Invertible skew pairings and crossed products for weak Hopf algebras Hacettepe Journal of Mathematics and Statistics\u00a0 <\/span><\/strong>51, No. 6, 1600-1620 <\/span>(2022)<\/span><\/strong>. Link.<\/span><\/strong><\/a><\/p>\n

68. <\/strong>Gonz\u00e1lez Rodr\u00edguez, R.: Galois extensions for quasigroupoid magmas Journal of Algebra<\/strong> and its Applications<\/strong><\/span> 21, No. 11, 2250223 (2022)<\/span><\/strong>. Link.<\/strong><\/span><\/a><\/p>\n

67<\/strong>. Gonz\u00e1lez Rodr\u00edguez, R., Rodr\u00edguez Raposo, A.B.: Cohomological obstructions and weak crossed products over w<\/span>eak Hopf algebras Journal of Algebra <\/strong>601, 491-526\u00a0 <\/span><\/span>(2022)<\/span> Link<\/span><\/a>,\u00a0<\/span><\/strong> arXiv:2105.02528v1.<\/strong><\/a><\/span><\/p>\n

66. <\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Cocycle deformations for Hom-Hopf algebras\u00a0 Journal of Algebra <\/strong><\/span>601, 354-389 (2022)<\/span><\/strong>. Link.<\/span><\/strong><\/a><\/p>\n

65.<\/strong>\u00a0Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0 Long dimodules and quasitriangular weak Hopf monoids Mathematics, <\/strong><\/span>9, No. 424\u00a0 (Special Issue: New Advances in Algebra, Ring Theory and Homological Algebra<\/strong><\/a><\/span>)\u00a0(2021)<\/span><\/strong>. https:\/\/doi.org\/10.3390\/math9040424. Link.<\/strong><\/span><\/a><\/p>\n

64.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Monoidal functors and exact sequences of groups for Hopf quasigroups\u00a0Journal of the Korean Mathematical Society<\/strong><\/span>\u00a058, No. 2, 351-381 <\/span><\/span>(2021) <\/span><\/strong>Link.<\/span><\/strong><\/a><\/p>\n

63.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0Quasigroupoids and weak Hopf quasigroups\u00a0Journal of \u00a0Algebra <\/span><\/strong><\/span>568<\/span>, 408-436\u00a0<\/span>(2021)\u00a0 Link.<\/span><\/a><\/strong><\/span><\/p>\n

62.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Multiplication alteration by two-cocycles. The \u00a0nonassociative version Bulletin of the Malaysian Mathematical Sciences Society <\/span><\/strong>43, 3557-3615\u00a0<\/strong>\u00a0\u00a0(2020)<\/span><\/strong>.\u00a0arXiv:1703.01829<\/span><\/strong><\/a><\/p>\n

61.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M. y Gonz\u00e1lez Rodr\u00edguez, R.: Maschke type theorems for weak Hopf quasigroups\u00a0Algebra Colloquium <\/span><\/strong>27, No. 2, 213-230<\/span>\u00a0(2020)<\/span><\/strong>. Link.<\/span><\/strong><\/a><\/p>\n

60.<\/strong>\u00a0Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., L\u00f3pez L\u00f3pez, M.P.: Faithfully flat descent for magmas\u00a0Journal of Pure and Applied Algebra <\/span><\/strong>224, 586-609<\/span>\u00a0<\/span>(2020)<\/span><\/strong>.\u00a0 Lin<\/span>k.<\/span><\/strong><\/a><\/p>\n

59.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Fundamental theorems of Doi-Hopf modules in a non-associative setting Bulletin of the Malaysian Mathematical Sciences Society<\/strong><\/span>\u00a042, 2701-2738 (2019)<\/strong>.<\/span><\/span>\u00a0\u00a0arXiv:1703.03229<\/span><\/strong><\/a><\/p>\n

58.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Multiplication alteration by two-cocycles for bialgebras with weak antipode Turkish\u00a0 Journal of Mathematics\u00a0<\/strong>43<\/span>,<\/span><\/span>\u00a01218-1231 (2019)<\/strong>.<\/span><\/span>\u00a0 L<\/strong>ink.<\/strong><\/span><\/a><\/p>\n

57.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Weak quasi-entwining structures Filomat<\/strong><\/span> 32, No. 18, 6229-6252 (2018)<\/strong>.<\/span> <\/span>Link.<\/a><\/strong><\/span><\/p>\n

56.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Crossed products of crossed modules of Hopf algebras Theory and Applications of Categories<\/span><\/strong>\u00a033,\u00a0 867-897\u00a0\u00a0(2018)<\/span><\/strong>.<\/span><\/span> Link.<\/strong><\/span><\/a><\/p>\n

55.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez.: Cleft extensions for quasi-entwining structures \u00a0Mathematica Slovaca<\/strong><\/span>,\u00a0 68, No. 2, 339-352\u00a0\u00a0(2018)<\/span><\/strong>.<\/span><\/p>\n

54.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Strong Hopf modules for weak Hopf quasigroups Colloquium Mathematicum-WARSAW<\/span><\/strong>\u00a0<\/span>148,\u00a0<\/strong>No. 2, 231-246\u00a0(2017)<\/span><\/strong>.<\/span><\/span>\u00a0\u00a0arXiv:1505.04586<\/a><\/strong><\/span><\/p>\n

53.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Some remarks about monoidal Hom-algebras Quaestiones Mathematicae<\/b><\/span> 40, No. 2, 251-275 (2017)<\/strong><\/span>.<\/p>\n

52.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: The group of strong Galois objects associated to a cocommutative Hopf quasigroup Journal of the Korean Mathematical Society <\/strong>54, No. 2, 517-543 (2017)<\/strong>.<\/span><\/span><\/span><\/span>\u00a0<\/span>\u00a0<\/span>arXiv:1602.06108<\/a><\/span><\/strong><\/p>\n

51.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: H-Galois extensions with normal basis for weak Hopf algebras International Electronic Journal of Algebra<\/strong><\/span> 21, \u00a023-38 (2017)<\/strong>.<\/span><\/span> Link.<\/strong><\/span><\/a><\/p>\n

50<\/b>. Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Weak Hopf quasigroups, Asian Journal of Mathematics <\/strong><\/span>20,\u00a0<\/span><\/strong><\/strong>No. 4, <\/span><\/span>665\u2013694\u00a0<\/strong><\/span>(2016)<\/strong>.<\/span>\u00a0<\/strong><\/span>\u00a0arXiv:1410.2180<\/a>\u00a0<\/strong><\/span><\/p>\n

49.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: A characterization of weak Hopf (co)quasigroups Mediterranean Journal of Mathematics <\/span><\/strong>13,\u00a0<\/span>No. 5, <\/span>3747\u20133764\u00a0(2016)<\/strong><\/span>.\u00a0\u00a0arXiv:1506.07664<\/a><\/strong><\/span><\/span><\/p>\n

48.<\/strong> Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Rodr\u00edguez Raposo A. B.: \u00a0Equivalences for weak crossed products. Communications in Algebra<\/strong><\/span> 44, No. 10, 4519-4545 (2016)<\/span><\/strong>.<\/span><\/span>\u00a0\u00a0arXiv:1505.05532<\/b><\/span><\/a><\/p>\n

47.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Cleft extensions and Galois extensions for Hom-associative algebras International Journal of Mathematics<\/span>\u00a0<\/strong>27, No. 3,\u00a0<\/b>1650025 (19 p\u00e1ginas)\u00a0\u00a0(2016)<\/span><\/strong>.<\/p>\n

46.\u00a0<\/strong>Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Cleft and Galois extensions associated to a weak Hopf quasigroup Journal of Pure and Applied Algebra<\/span>\u00a0<\/strong>220, No. 3, 1002-1034, (2016)<\/span><\/strong>.<\/span> arXiv:1412.1622<\/a><\/span><\/strong><\/p>\n

45.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: Cleft comodules over\u00a0 Hopf quasigroups, Communications in Contemporary Mathematics<\/strong><\/span> 17, No. 6, 1550007 (20 p\u00e1ginas) (2015)<\/span><\/strong>.<\/p>\n

44.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra\u00a0 Algebra Colloquium<\/strong><\/span>\u00a022, 871-902\u00a0(2015)<\/strong>.<\/span><\/span>\u00a0\u00a0arXiv:1203.2474<\/a><\/strong><\/span><\/p>\n

43.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: Projections \u00a0and Yetter-Drinfeld modules over Hopf (co)quasigroups Journal of \u00a0Algebra<\/span>\u00a0<\/strong>443, 153\u2013199\u00a0(2015)<\/strong><\/span>.<\/p>\n

42.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Co-extended weak entwining structures, Turkish\u00a0 Journal of Mathematics<\/strong><\/span>\u00a039, \u00a0174-199 \u00a0(2015)<\/strong>.<\/span><\/span> \u00a0Link<\/strong><\/a>.<\/span><\/p>\n

41<\/strong>. Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Cohomology of algebras over weak Hopf algebras, Homology, Homotopy\u00a0 and Applications<\/strong><\/span> 16, No. 1, 341-369 (2014)<\/span><\/strong>.<\/span><\/span>\u00a0<\/span><\/strong>\u00a0 arXiv:1206.3850<\/a><\/strong><\/span><\/p>\n

40.<\/strong> Alonso \u00c1lvarez, J.N.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Soneira Calvo, C.: Yetter-Drinfeld modules over weak braided Hopf monoids and center categories, Acta Mathematica Sinica. English Series<\/strong><\/span> 30, No. 4, 567-590 (2014)<\/strong><\/span>.<\/p>\n

39.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.: Crossed products over weak Hopf algebras related to cleft extensions\u00a0 and cohomology,\u00a0 Chinese Annals of Mathematics, Ser. B<\/strong><\/span> 35, No. 2, 161-190 (2014)<\/strong><\/span>.<\/p>\n

38.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: Lax entwining structures, groupoid algebras and cleft extensions,\u00a0 Bulletin of the Brazilian Mathematical Society<\/strong><\/span> 45, No. 1, 133-178 (2014)<\/strong><\/span>.<\/p>\n

37.<\/strong> Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Rodr\u00edguez Raposo, A. B.: Partial and unified crossed products are weak crossed products. Contemporary Mathematics<\/strong><\/span>. American Mathematical Society (Hopf Algebras and Tensor Categories<\/strong><\/a><\/span>) 585, 261-274 (2013)<\/strong>.<\/span>\u00a0<\/strong><\/span> arXiv:1110.6724<\/a><\/strong><\/span><\/p>\n

36<\/strong>. Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: Yetter-Drinfeld categories associated to a weak braided Hopf algebra Arabian Journal of Mathematics<\/strong><\/span> 2, No. 1, 1-18 (2013)<\/strong><\/span>.<\/p>\n

35.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0\u00a0 Strong connections and invertible weak entwining structures.\u00a0 Acta Mathematica Sinica. English Series<\/strong><\/span> 28, No. 7, 1443-1460 (2012)<\/strong><\/span>.<\/p>\n

34.<\/strong> \u00a0Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Rodr\u00edguez Raposo, A. B.: Weak crossed biproducts and weak projections. Science China Mathematics<\/strong><\/span> 55, No. 7, 1321-1352 (2012)<\/strong><\/span>.\u00a0\u00a0arXiv:0906.1693<\/a><\/strong><\/span><\/p>\n

33<\/strong>. Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Soneira Calvo, C.: Projections of weak braided Hopf algebras. Science China Mathematics<\/strong><\/span> 54, No. 5, 877-906\u00a0 (2011)<\/span><\/strong>.<\/p>\n

32.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: The Miyashita-Ulbrich action for weak Hopf algebras.\u00a0 Communications in\u00a0 Algebra<\/strong><\/span> 39, No. 5, 1826-1871\u00a0 (2011)<\/span><\/strong>.<\/p>\n

31<\/strong>.\u00a0 Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Rodr\u00edguez Raposo A. B.: Crossed products in weak contexts.\u00a0 Applied Categorical Structures<\/strong><\/span>\u00a0 (special issue: Enriched and Higher Categories<\/strong><\/span>)\u00a0 18, No. 3, 231-258 (2010)<\/span><\/strong>.<\/p>\n

30.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 L\u00f3pez L\u00f3pez M. P.:\u00a0 A characterization of projective\u00a0 weak Galois extensions. Israel Journal of Mathematics<\/strong><\/span> 174, 161-178\u00a0 (2009)<\/span><\/strong>.<\/p>\n

29.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Weak braided bialgebras and weak entwining structures.\u00a0 Bulletin of the Australian Mathematical Society <\/strong><\/span>80, No. 2, 306-316\u00a0 (2009)<\/span><\/strong>.<\/p>\n

28.<\/strong> Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Rodr\u00edguez Raposo A. B.:\u00a0 Preunits and weak crossed products.\u00a0 Journal of Pure and Applied Algebra<\/strong><\/span>\u00a0 213, N. 12, 2244-2261 (2009)<\/span><\/strong>.<\/p>\n

27.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0 Weak Yang-Baxter operators and quasitriangular weak Hopf algebras. The Arabian Journal for Science and Engineering<\/strong><\/span> 33, No. 2C (special issue: Interactions of Algebraic & Coalgebraic Structures\u00a0 (Theory and Applications)<\/strong><\/span>), 27-40 (2008)<\/strong><\/span>.<\/p>\n

26.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Rodr\u00edguez Raposo A. B.:\u00a0 A Maschke type theorem for weak Hopf algebras. Acta Mathematica Sinica. English Series<\/strong><\/span> 24, No. 12, 2065-2080 (2008)<\/strong><\/span>.<\/p>\n

25.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0 Weak braided Hopf algebras. Indiana University Mathematics Journal<\/strong><\/span> \u00a057, No. 5, 2423-2458 (2008)<\/span><\/strong>.<\/p>\n

24.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0 Weak Hopf algebras and weak Yang-Baxter operators. Journal of\u00a0 Algebra<\/strong> <\/span>320, No. 6, 2101-2143\u00a0 (2008)<\/span><\/strong>.<\/p>\n

23.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.:\u00a0 Yetter-Drinfeld modules and projections of weak Hopf algebras. Journal of\u00a0 Algebra<\/strong><\/span> 315, No. 1, 396-418 (2007)<\/span><\/strong>.<\/p>\n

22.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Quantum groupoids with projection<\/a><\/span>.<\/strong> Centro Internacional de Matem\u00e1tica (CIM). Universidade de Coimbra\u00a0 No. 28 (From Lie Algebras to Quantum Groups<\/strong><\/span>), 151-174 (2007)<\/span><\/strong>.<\/p>\n

21<\/strong>. Alonso \u00c1lvarez, J.N.,\u00a0 Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Rodr\u00edguez Raposo A. B.: Weak Galois and weak cocleft coextensions. \u00a0 Algebra Colloquium<\/strong><\/span> 14, \u00a0No. 2, 229-244 (2007)<\/span><\/strong>.<\/p>\n

20.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Rodr\u00edguez Raposo A. B.: Invertible weak entwining structures and weak C-cleft extensions. Applied Categorical Structures <\/strong><\/span>14,\u00a0 No. 5-6 (special issue: Categorical methods in Hopf algebras<\/span>)<\/span><\/strong>, 411-419 (2006)<\/span><\/strong>.<\/p>\n

19.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 \u00a0Rodr\u00edguez Raposo A. B.: Weak\u00a0 C-cleft extensions and weak Galois extensions. Journal of\u00a0 Algebra<\/strong><\/span> \u00a0299, No. 1, 276-293 (2006)<\/span><\/strong>.<\/p>\n

18<\/strong>. Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 \u00a0Rodr\u00edguez Raposo A. B.:\u00a0 Weak\u00a0 C-cleft extensions, weak entwining structures and weak Hopf algebras. \u00a0 Journal of\u00a0 Algebra<\/strong><\/span> \u00a0284, No. 2, 679-704 (2005)<\/span><\/strong>.<\/p>\n

17.<\/strong> Alonso \u00c1lvarez, J.N.,\u00a0 Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: \u00a0 A note on bosonization. \u00a0 Algebra Colloquium<\/strong><\/span>\u00a0 11, No. 4, 451-466 (2004)<\/span><\/strong>.<\/p>\n

16.<\/strong> Alonso \u00c1lvarez, J.N., Gonz\u00e1lez Rodr\u00edguez, R.: Crossed products for weak Hopf algebras with coalgebra splitting. \u00a0 Journal of\u00a0 Algebra<\/strong><\/span>\u00a0 281, No. 2, 731-752\u00a0 (2004)<\/strong><\/span>.<\/p>\n

15.<\/strong> Alonso \u00c1lvarez, J.N.,\u00a0 Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., L\u00f3pez L\u00f3pez, M.P., Villanueva Novoa, E.: \u00a0P-twist and orientability in braided categories. Journal of Pure and Applied Algebra<\/strong><\/span> \u00a0\u00a0188, No. 1-3, 7-32 (2004)<\/span><\/strong>.<\/p>\n

14.<\/strong> Alonso \u00c1lvarez, J.N.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Fern\u00e1ndez Vilaboa, J.M., L\u00f3pez L\u00f3pez, M.P., Villanueva Novoa, E.: Weak Hopf algebras with projection and weak smash bialgebra structures.\u00a0 Journal of\u00a0 Algebra<\/strong><\/span> \u00a0269, No. 2, 701-725 (2003)<\/strong><\/span>.<\/p>\n

13.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1dez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: The Hopf algebra structure of a crossed product in a braided monoidal category.\u00a0 Tsukuba Journal of\u00a0 Mathematics<\/strong><\/span> 26, No. 2, 299-311 (2002)<\/span><\/strong>.<\/p>\n

12.<\/strong> Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R., Villanueva Novoa, E.: The Brauer group of central separable monoids in a braided monoidal category.\u00a0 Algebra Colloquium<\/strong><\/span> 9, No. 4, 399-416 (2002)<\/span><\/strong>.<\/p>\n

11.<\/strong> Alonso \u00c1lvarez, J.N.,\u00a0 Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.,\u00a0 Villanueva Novoa, E.: About the naturality of Beattie’s decomposition theorem with respect to a change of Hopf algebras. Cahiers de Topologie et G\u00e9ometrie Diff\u00e9rentielle Cat\u00e9goriques<\/strong><\/span>\u00a0 XLIII,\u00a0 No. 1, 2-18 (2002)<\/strong><\/span>.<\/p>\n

10.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: On the (co)commutativity class of a Hopf algebra and crossed products in a braided category. Communications in\u00a0 Algebra<\/strong><\/span> 29, No. 12, 5857-5878 (2001)<\/span><\/strong>.<\/p>\n

9.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: Smash (co)products and skew pairings.\u00a0 Publicacions\u00a0 Matem\u00e0tiques<\/strong><\/span> 45, No. 2, 467-475 (2001)<\/strong><\/span>.<\/p>\n

8.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., Gonz\u00e1lez Rodr\u00edguez, R.: The group of Hopf-Galois extensions with central invariants.\u00a0 Communications in\u00a0 Algebra<\/strong><\/span> 29, No. 1, 343-373 (2001)<\/strong><\/span>.<\/p>\n

7.<\/strong> Alonso \u00c1lvarez, J.N., Gonz\u00e1lez Rodr\u00edguez, R.: Dislexia and duals of Hopf algebras in braided monoidal categories.\u00a0 Communications in\u00a0 Algebra<\/strong><\/span> 27, No. 4, 1903-1909 (1999)<\/span><\/strong>.<\/p>\n

6.<\/strong> Fern\u00e1ndez Vilaboa, J.M., Villanueva Novoa, E., Gonz\u00e1lez Rodr\u00edguez, R.: The exact sequence Pic(C) –> Pic(C’) –> K1A(F) –> B( C) —> B(C’) for a monoidal functor between closed categories.\u00a0 Communications in\u00a0 Algebra<\/strong><\/span> 26, No. 9, 2727-2743 (1998)<\/strong><\/span>.<\/p>\n

5.<\/strong> Alonso \u00c1lvarez, J.N., Fern\u00e1ndez Vilaboa, J.M., L\u00f3pez L\u00f3pez, M.P., Villanueva Novoa, E., Gonz\u00e1lez Rodr\u00edguez, R.: A Picard-Brauer five term exact sequence for braided categories. Lecture Notes in Pure and Applied Mathematics (Blue Series)<\/strong><\/span> 197 (Rings, Hopf algebras and Brauer groups<\/strong><\/span>), 11-41 (1998)<\/span><\/strong>.<\/p>\n

4.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R., Villanueva Novoa, E.: Extension, restriction and Picard-Brauer exact sequences for torsion theories.\u00a0 Communications in\u00a0 Algebra<\/strong><\/span> 26, No. 1, 309-320 (1998)<\/span><\/strong>.<\/p>\n

3.<\/strong> Fern\u00e1ndez Vilaboa, J.M., Villanueva Novoa, E., Gonz\u00e1lez Rodr\u00edguez, R.: Exact sequences for the Galois group.\u00a0 Communications in\u00a0 Algebra<\/strong><\/span> 24, No. 11, 3413-3435 (1996)<\/span><\/strong>.<\/p>\n

2.<\/strong> Fern\u00e1ndez Vilaboa, J.M.,\u00a0 Gonz\u00e1lez Rodr\u00edguez, R., Villanueva Novoa, E.: The Picard-Brauer five term exact sequence for a cocommutative finite Hopf algebra.\u00a0 Journal of Algebra<\/strong><\/span> 186, No. 2, 384-400 (1996)<\/strong><\/span>.<\/p>\n

1.<\/strong> Gonz\u00e1lez Rodr\u00edguez, R., Villanueva N\u00f3voa, E.: G-compatible torsion theories. The sheaves Pic(s) and B(s).\u00a0 Communications in\u00a0 Algebra<\/strong>\u00a0<\/span> 24, No. 2, 573-604 (1996)<\/strong>.<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

ORCID ID: 0000-0003-3061-6685 Scopus Author ID: 6602253957 Web of Science ResearcherID:\u00a0\u00a0ABE-3135-2020 Google Scholar: Link Portal Cient\u00edfico UVigo: Link Libros \/ Books 1. Gonz\u00e1lez Rodr\u00edguez, R. La sucesi\u00f3n exacta Pic(C) —> Pic(D) —> K1A(F) —> B(C) —> B(D) en categor\u00edas cerradas. Aplicaci\u00f3n a la teor\u00eda de invariantes relativos de haces de m\u00f3dulos. \u00c1lxebra 60. Departamento de […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"two_page_speed":[],"footnotes":""},"class_list":["post-148","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/pages\/148","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/comments?post=148"}],"version-history":[{"count":377,"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/pages\/148\/revisions"}],"predecessor-version":[{"id":1624,"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/pages\/148\/revisions\/1624"}],"wp:attachment":[{"href":"https:\/\/dma.uvigo.es\/~rgon\/wp-json\/wp\/v2\/media?parent=148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}