Publicaciones

ORCID ID: 0000-0003-3061-6685

Scopus Author ID: 6602253957

Google Scholar: Link

Portal Científico UVigo: Link

Libros / Books

1. González Rodríguez, R. La sucesión exacta Pic(C) —> Pic(D) —> K1A(F) —> B(C) —> B(D) en categorías cerradas. Aplicación a la teoría de invariantes relativos de haces de módulos. Álxebra 60. Departamento de Álgebra. Universidad de Santiago de Compostela (1995). D.L. C-1594-95. ISBN: 84-920864-0-8.

Artículos sometidos y prepublicaciones / Preprints

1. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.,  Soneira Calvo, C.: Adjoint actions and quantum commutativity (2015). link

2. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Integrals and crossed products over weak Hopf algebras (2013).   arXiv:1207.5363 (this paper is the preliminary version of 39)

3. Fernández Vilaboa, J.M.,  González Rodríguez, R., Rodríguez Raposo A. B.: Iterated weak crossed products. arXiv:1503.01585  (2017). Modified version: link

4. González Rodríguez, R.: Distributive laws and Hopf quasigroups  arXiv:2402.02965v2  (2025).

5.  González Rodríguez, R.,  Rodríguez Raposo, A.B.: Categorical equivalences for Hopf trusses  and their modules  arXiv:2312.06520 (2025).

6. González Rodríguez, R.: Distributive laws in non associative setting  (2025).

7. González Rodríguez, R., Ramos Pérez, B.: About Hopf braces and crossed products, arXiv:2502.20919 (2025).

Artículos en prensa / Articles in press

1. González Rodríguez, R.: Weak  Hopf quasigroups  and matched pairs of quasigroupoids, Journal of Algebra and its Applications arXiv:2403.09231 (2025). link

2. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B., Rodríguez Raposo, A.B.: Projections of Hopf braces Communications in Algebra arXiv:2404.12231 (2025). link

3. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B.: Relative Rota-Baxter operators, modules and projections  Czechoslovak Mathematical Journal arXiv:2406.12782 (2025).

4. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B.: Categorical isomorphisms for Hopf braces Hacettepe Journal of Mathematics and Statistics  arXiv:2311.05235 (2025).

5. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B.: Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) arXiv:2402.016704 (2025).

Artículos / Articles  ———— Reviews in Mathscinet ———— zbMATH Open

76. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B.: Hopf bracoids Communications in Algebra,  53, No 3, 959-982 (2025).  link,   arXiv:2401.02925 

75. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B., Rodríguez Raposo, A.B.: Modules over invertible 1-cocycles Turkish  Journal of Mathematics 48, 248-266 (2024). link,  arXiv:2311.05233 

74. González Rodríguez, R.: Factorizations of  Hopf quasigroups  Publicationes Mathematicae Debrecen 104, No 1-2, 195-219 (2024). link.

73. González Rodríguez, R.: Natural transformations for quasigroupoids Georgian Mathematical Journal 30(4),  523–538 (2023). link

72. Alonso Álvarez, J.N.,  González Rodríguez, R.: Functors for Long dimodules and Yetter-Drinfeld modules in a weak setting Rendiconti del Seminario Matematico della Università di Padova 150, 247–266 (2023). link

71. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Cocycle deformations for weak Hopf algebras Filomat 37, No. 26, 8725-8745 (2023).

70. González Rodríguez, R.: The fundamental theorem of Hopf modules for Hopf braces Linear and Multilinear Algebra 70, No. 20, 5146-5156 (2022). link

69. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Invertible skew pairings and crossed products for weak Hopf algebras Hacettepe Journal of Mathematics and Statistics  51, No. 6, 1600-1620 (2022). link

68. González Rodríguez, R.: Galois extensions for quasigroupoid magmas Journal of Algebra and its Applications 21, No. 11, 2250223 (2022). link

67. González Rodríguez, R., Rodríguez Raposo, A.B.: Cohomological obstructions and weak crossed products over weak Hopf algebras Journal of Algebra 601, 491-526  (2022) link,  arXiv:2105.02528v1.

66. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Cocycle deformations for Hom-Hopf algebras  Journal of Algebra 601, 354-389 (2022). link

65. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.:  Long dimodules and quasitriangular weak Hopf monoids Mathematics, 9, No. 424  (Special Issue: New Advances in Algebra, Ring Theory and Homological Algebra) (2021). https://doi.org/10.3390/math9040424. link

64. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Monoidal functors and exact sequences of groups for Hopf quasigroups Journal of the Korean Mathematical Society 58, No. 2, 351-381 (2021) link

63. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Quasigroupoids and weak Hopf quasigroups Journal of  Algebra 568, 408-436 (2021)  link

62. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Multiplication alteration by two-cocycles. The  nonassociative version Bulletin of the Malaysian Mathematical Sciences Society 43, 3557-3615   (2020). arXiv:1703.01829

61. Alonso Álvarez, J.N., Fernández Vilaboa, J.M. y González Rodríguez, R.: Maschke type theorems for weak Hopf quasigroups Algebra Colloquium 27, No. 2, 213-230 (2020). link

60. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R., López López, M.P.: Faithfully flat descent for magmas Journal of Pure and Applied Algebra 224, 586-609 (2020).  link

59. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Fundamental theorems of Doi-Hopf modules in a non-associative setting Bulletin of the Malaysian Mathematical Sciences Society 42, 2701-2738 (2019).  arXiv:1703.03229

58. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Multiplication alteration by two-cocycles for bialgebras with weak antipode Turkish  Journal of Mathematics 43, 1218-1231 (2019).  link 

57. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Weak quasi-entwining structures Filomat 32, No. 18, 6229-6252 (2018). link

56. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Crossed products of crossed modules of Hopf algebras Theory and Applications of Categories 33,  867-897  (2018). link

55. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez.: Cleft extensions for quasi-entwining structures  Mathematica Slovaca,  68, No. 2, 339-352  (2018).

54. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Strong Hopf modules for weak Hopf quasigroups Colloquium Mathematicum-WARSAW 148, No. 2, 231-246 (2017).  arXiv:1505.04586

53. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Some remarks about monoidal Hom-algebras Quaestiones Mathematicae 40, No. 2, 251-275 (2017).

52. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: The group of strong Galois objects associated to a cocommutative Hopf quasigroup Journal of the Korean Mathematical Society 54, No. 2, 517-543 (2017).  arXiv:1602.06108

51. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: H-Galois extensions with normal basis for weak Hopf algebras International Electronic Journal of Algebra 21,  23-38 (2017). link

50. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Weak Hopf quasigroups, Asian Journal of Mathematics 20, No. 4, 665–694 (2016).  arXiv:1410.2180 

49. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: A characterization of weak Hopf (co)quasigroups Mediterranean Journal of Mathematics 13, No. 5, 3747–3764 (2016).  arXiv:1506.07664

48. Fernández Vilaboa, J.M.,  González Rodríguez, R., Rodríguez Raposo A. B.:  Equivalences for weak crossed products. Communications in Algebra 44, No. 10, 4519-4545 (2016).  arXiv:1505.05532

47. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Cleft extensions and Galois extensions for Hom-associative algebras International Journal of Mathematics 27, No. 3, 1650025 (19 páginas)  (2016).

46. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Cleft and Galois extensions associated to a weak Hopf quasigroup Journal of Pure and Applied Algebra 220, No. 3, 1002-1034, (2016). arXiv:1412.1622

45. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Soneira Calvo, C.: Cleft comodules over  Hopf quasigroups, Communications in Contemporary Mathematics 17, No. 6, 1550007 (20 páginas) (2015).

44. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Soneira Calvo, C.: The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra  Algebra Colloquium 22, 871-902 (2015).  arXiv:1203.2474

43. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.,  Soneira Calvo, C.: Projections  and Yetter-Drinfeld modules over Hopf (co)quasigroups Journal of  Algebra 443, 153–199 (2015).

42. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Co-extended weak entwining structures, Turkish  Journal of Mathematics 39,  174-199  (2015).  link.

41. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Cohomology of algebras over weak Hopf algebras, Homology, Homotopy  and Applications 16, No. 1, 341-369 (2014).   arXiv:1206.3850

40. Alonso Álvarez, J.N.,  González Rodríguez, R., Soneira Calvo, C.: Yetter-Drinfeld modules over weak braided Hopf monoids and center categories, Acta Mathematica Sinica. English Series 30, No. 4, 567-590 (2014).

39. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.: Crossed products over weak Hopf algebras related to cleft extensions  and cohomology,  Chinese Annals of Mathematics, Ser. B 35, No. 2, 161-190 (2014).

38. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Soneira Calvo, C.: Lax entwining structures, groupoid algebras and cleft extensions,  Bulletin of the Brazilian Mathematical Society 45, No. 1, 133-178 (2014).

37. Fernández Vilaboa, J.M.,  González Rodríguez, R., Rodríguez Raposo, A. B.: Partial and unified crossed products are weak crossed products. Contemporary Mathematics. American Mathematical Society (Hopf Algebras and Tensor Categories) 585, 261-274 (2013).  arXiv:1110.6724

36. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Soneira Calvo, C.: Yetter-Drinfeld categories associated to a weak braided Hopf algebra Arabian Journal of Mathematics 2, No. 1, 1-18 (2013).

35. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.:   Strong connections and invertible weak entwining structures.  Acta Mathematica Sinica. English Series 28, No. 7, 1443-1460 (2012).

34.  Fernández Vilaboa, J.M.,  González Rodríguez, R., Rodríguez Raposo, A. B.: Weak crossed biproducts and weak projections. Science China Mathematics 55, No. 7, 1321-1352 (2012).  arXiv:0906.1693

33. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Soneira Calvo, C.: Projections of weak braided Hopf algebras. Science China Mathematics 54, No. 5, 877-906  (2011).

32. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: The Miyashita-Ulbrich action for weak Hopf algebras.  Communications in  Algebra 39, No. 5, 1826-1871  (2011).

31.  Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Rodríguez Raposo A. B.: Crossed products in weak contexts.  Applied Categorical Structures  (special issue: Enriched and Higher Categories)  18, No. 3, 231-258 (2010).

30. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  López López M. P.:  A characterization of projective  weak Galois extensions. Israel Journal of Mathematics 174, 161-178  (2009).

29. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Weak braided bialgebras and weak entwining structures.  Bulletin of the Australian Mathematical Society 80, No. 2, 306-316  (2009).

28. Fernández Vilaboa, J.M.,  González Rodríguez, R., Rodríguez Raposo A. B.:  Preunits and weak crossed products.  Journal of Pure and Applied Algebra  213, N. 12, 2244-2261 (2009).

27. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.:  Weak Yang-Baxter operators and quasitriangular weak Hopf algebras. The Arabian Journal for Science and Engineering 33, No. 2C (special issue: Interactions of Algebraic & Coalgebraic Structures  (Theory and Applications)), 27-40 (2008).

26. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.,  Rodríguez Raposo A. B.:  A Maschke type theorem for weak Hopf algebras. Acta Mathematica Sinica. English Series 24, No. 12, 2065-2080 (2008).

25. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.:  Weak braided Hopf algebras. Indiana University Mathematics Journal  57, No. 5, 2423-2458 (2008).

24. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.:  Weak Hopf algebras and weak Yang-Baxter operators. Journal of  Algebra 320, No. 6, 2101-2143  (2008).

23. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.:  Yetter-Drinfeld modules and projections of weak Hopf algebras. Journal of  Algebra 315, No. 1, 396-418 (2007).

22. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Quantum groupoids with projection. Centro Internacional de Matemática (CIM). Universidade de Coimbra  No. 28 (special issue: From Lie Algebras to Quantum Groups), 151-174 (2007).

21. Alonso Álvarez, J.N.,  Fernández Vilaboa, J.M., González Rodríguez, R.,  Rodríguez Raposo A. B.: Weak Galois and weak cocleft coextensions.   Algebra Colloquium 14,  No. 2, 229-244 (2007).

20. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,  Rodríguez Raposo A. B.: Invertible weak entwining structures and weak C-cleft extensions. Applied Categorical Structures 14,  No. 5-6 (special issue: Categorical methods in Hopf algebras), 411-419 (2006).

19. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,   Rodríguez Raposo A. B.: Weak  C-cleft extensions and weak Galois extensions. Journal of  Algebra  299, No. 1, 276-293 (2006).

18. Alonso Álvarez, J.N., Fernández Vilaboa, J.M.,  González Rodríguez, R.,   Rodríguez Raposo A. B.:  Weak  C-cleft extensions, weak entwining structures and weak Hopf algebras.   Journal of  Algebra  284, No. 2, 679-704 (2005).

17. Alonso Álvarez, J.N.,  Fernández Vilaboa, J.M., González Rodríguez, R.:   A note on bosonization.   Algebra Colloquium  11, No. 4, 451-466 (2004).

16. Alonso Álvarez, J.N., González Rodríguez, R.: Crossed products for weak Hopf algebras with coalgebra splitting.   Journal of  Algebra  281, No. 2, 731-752  (2004).

15. Alonso Álvarez, J.N.,  Fernández Vilaboa, J.M., González Rodríguez, R., López López, M.P., Villanueva Novoa, E.:  P-twist and orientability in braided categories. Journal of Pure and Applied Algebra   188, No. 1-3, 7-32 (2004).

14. Alonso Álvarez, J.N.,  González Rodríguez, R.,  Fernández Vilaboa, J.M., López López, M.P., Villanueva Novoa, E.: Weak Hopf algebras with projection and weak smash bialgebra structures.  Journal of  Algebra  269, No. 2, 701-725 (2003).

13. Alonso Álvarez, J.N., Fernádez Vilaboa, J.M., González Rodríguez, R.: The Hopf algebra structure of a crossed product in a braided monoidal category.  Tsukuba Journal of  Mathematics 26, No. 2, 299-311 (2002).

12. Fernández Vilaboa, J.M., González Rodríguez, R., Villanueva Novoa, E.: The Brauer group of central separable monoids in a braided monoidal category.  Algebra Colloquium 9, No. 4, 399-416 (2002).

11. Alonso Álvarez, J.N.,  Fernández Vilaboa, J.M., González Rodríguez, R.,  Villanueva Novoa, E.: About the naturality of Beattie’s decomposition theorem with respect to a change of Hopf algebras. Cahiers de Topologie et Géometrie Différentielle Catégoriques  XLIII,  No. 1, 2-18 (2002).

10. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: On the (co)commutativity class of a Hopf algebra and crossed products in a braided category. Communications in  Algebra 29, No. 12, 5857-5878 (2001).

9. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: Smash (co)products and skew pairings.  Publicacions  Matemàtiques 45, No. 2, 467-475 (2001).

8. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., González Rodríguez, R.: The group of Hopf-Galois extensions with central invariants.  Communications in  Algebra 29, No. 1, 343-373 (2001).

7. Alonso Álvarez, J.N., González Rodríguez, R.: Dislexia and duals of Hopf algebras in braided monoidal categories.  Communications in  Algebra 27, No. 4, 1903-1909 (1999).

6. Fernández Vilaboa, J.M., Villanueva Novoa, E., González Rodríguez, R.: The exact sequence Pic(C) –> Pic(C’) –> K1A(F) –> B( C) —> B(C’) for a monoidal functor between closed categories.  Communications in  Algebra 26, No. 9, 2727-2743 (1998).

5. Alonso Álvarez, J.N., Fernández Vilaboa, J.M., López López, M.P., Villanueva Novoa, E., González Rodríguez, R.: A Picard-Brauer five term exact sequence for braided categories. Lecture Notes in Pure and Applied Mathematics (Blue Series) 197 (special issue: Rings, Hopf algebras and Brauer groups), 11-41 (1998).

4. González Rodríguez, R., Villanueva Novoa, E.: Extension, restriction and Picard-Brauer exact sequences for torsion theories.  Communications in  Algebra 26, No. 1, 309-320 (1998).

3. Fernández Vilaboa, J.M., Villanueva Novoa, E., González Rodríguez, R.: Exact sequences for the Galois group.  Communications in  Algebra 24, No. 11, 3413-3435 (1996).

2. Fernández Vilaboa, J.M.,  González Rodríguez, R., Villanueva Novoa, E.: The Picard-Brauer five term exact sequence for a cocommutative finite Hopf algebra.  Journal of Algebra 186, No. 2, 384-400 (1996).

1. González Rodríguez, R., Villanueva Nóvoa, E.: G-compatible torsion theories. The sheaves Pic(s) and B(s).  Communications in  Algebra  24, No. 2, 573-604 (1996).

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