Prof. Ramón González Rodríguez

Preprints

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

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

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 (2024).

5. González Rodríguez, R., Ramos Pérez, B., Rodríguez Raposo, A.B.: On modules over a Hopf brace, arXiv:2603.22932 (2026).

Artículos en prensa/Papers in press

1. González Rodríguez, R.: Weak Hopf quasigroups and matched pairs of quasigroupoids, Journal of Algebra and its Applications (2026). Link, arXiv:2403.09231

2. González Rodríguez, R.: Distributive laws in non associative setting, Springer Proceedings in Mathematics & Statistics (Functor and Tensor Categories, Models, and Systems) (2026). Link.

3. González Rodríguez, R., Ramos Pérez, B.: About Hopf braces and crossed products, Sao Paulo Journal of Mathematical Sciences arXiv:2502.20919 (2026).

Artículos/Papers

81. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B.: Categorical isomorphisms for Hopf braces, Hacettepe Journal of Mathematics and Statistics 54, No 5, 1872-1896 (2025). Link, arXiv:2311.05235

80. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B.: Relative Rota-Baxter operators, modules and projections, Czechoslovak Mathematical Journal 75, No 150, 865-913 (2025). Link, arXiv:2406.12782

79. González Rodríguez, R., Rodríguez Raposo, A.B.: Categorical equivalences for Hopf trusses and their modules, Rendiconti del Circolo Matematico di Palermo. Series 2 74, No 5, 155 (23 pág.) (2025). Link, arXiv:2312.06520

78. Fernández Vilaboa, J.M., González Rodríguez, R., Ramos Pérez, B., Rodríguez Raposo, A.B.: Projections of Hopf braces Communications in Algebra 53, No 7, 3008-3045, (2025). Link, arXiv:2404.12231

77. 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) 21, No 24, 36 pages (2025). Link, arXiv:2402.016704

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, No. 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, arXiv:2209.14718

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, R.: 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. y González Rodríguez, R.: Cohomology of algebras over weak Hopf algebras, Homology, Homotopy and Applications 16, No. 1, 341-369 (2014) (preliminary version arXiv:1206.3850).

40. Alonso Álvarez, J.N., González Rodríguez, R. y 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. y 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. y 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. y 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. y 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. y 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. y 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., y 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. y 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. y 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. y 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. y Rodríguez Raposo A. B.: Preunits and weak crossed products, Journal of Pure and Applied Algebra 213, No. 12, 2244-2261 (2009).

27. Alonso Álvarez, J.N., Fernández Vilaboa, J.M. y 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. y 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. y 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. y 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. y 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. y González Rodríguez, R.: Quantum groupoids with projection, Centro Internacional de Matemática (CIM). Universidade de Coimbra N. 28 (special issue: From Lie Algebras to Quantum Groups), 151-174 (2007).

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

16. Alonso Álvarez, J.N. y 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. y 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. y 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. y 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. y 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. y 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). Link

10. Alonso Álvarez, J.N., Fernández Vilaboa, J.M. y 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. y 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. y 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. y 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. y 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. y 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. y 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. y 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. y 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. y 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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