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Publicaciones de José Gómez-Torrecillas's Publications

  1. “Some exact sequences associated with adjunctions in bicategories. Applications” (with B. Mesablishvili).
    Transactions of the American Mathematical Society 371 (2019), 8255–8295. 
  2. “Computing the bound of an Ore polynomial. Applications to factorization” (with F.J. Lobillo and G. Navarro),  Journal of Symbolic Computation 92(2019), 269-297. 
  3. “Computing free distances of idempotent convolutional codes” (with F.J. Lobillo and G. Navarro), International Symposium on Symbolic and Algebraic Computation Proceedings, ACM, 2018.
  4. “Dual skew codes from annihilators: Transpose Hamming ring extensions (with F.J. Lobillo and G. Navarro)”, in ‘Non commutative rings and their applications’, A. Leroy et al. eds., Contemporary Mathematics, to appear. 
  5. “Hartmann–Tzeng bound and skew cyclic codes of designed Hamming distance” (with F.J. Lobillo and G. Navarro),  Finite Fields and their Applications 50 (2018), 84–112.
  6. “Peterson-Gorenstein-Zierler algorithm for skew RS codes” (with F.J. Lobillo and G. Navarro), Linear and Multilinear Algebra, 66 (2018), 469–487. 
  7. “Weak multiplier bimonoids” (with G. Böhm and S. Lack), Applied Categorical Structures, 26 (2018), 47–111. 
  8. “Ideal codes over separable ring extensions” (with F.J. Lobillo and G. Navarro), IEEE Transactions on Information Theory, 63 (2017), 2796–2813. 
  9. “Computing separability elements for the sentence ambient algebra of split ideal codes” (with F.J. Lobillo and G. Navarro), Journal of Symbolic Computation, 83 (2017), 211–227. 
  10. “A Sugiyama-like decoding algorithm for convolutional codes” (with F.J. Lobillo and G. Navarro), IEEE Transactions on Information Theory, 63 (2017), 6216–6226. 
  11. "A new perspective of cyclicity in convolutional codes" (with F.J. Lobillo and G. Navarro), IEEE Transactions on Information Theory, 62 (2016), 2702–2706
  12. “An isomorphism test for modules over a non-commutative PID. Applications to similarity of Ore polynomials" (with F.J. Lobillo and G. Navarro) Journal of Symbolic Computation, 75 (2016), 149-170. 
  13. “Convolutional codes with a matrix-algebra word-ambient” (with F.J. Lobillo and G. Navarro), Advances in Mathematics of Communications,  10 (2016), 29-43
  14. “Hereditary triangular matrix comonads" (with L. El Kaoutit), Linear and Multilinear Algebra, 64 (2016), 1032-1055.
  15. “Separability test and cyclic convolutional codes (with F.J. Lobillo and Gabriel Navarro)”, XV Encuentro de Álgebra Computacional y Aplicaciones : EACA 2016, pp.93–96. Ed: J. Heras and A. Romero. Universidad de La Rioja, 2016.
  16. “Códigos convolucionales cíclicos torcidos” (with F.J. Lobillo and G. Navarro). Actas de las II Jornadas Nacionales de Investigación en Ciberseguridad, pp. 95–96. Ed: P. García Teodoro et al., Universidad de Granada, 2016.
  17. ''Weak multiplier bialgebras'' (with G. Böhm and E. López-Centella), Transactions of the American Mathematical Society, 367 (2015), 8681-8721.
  18. ''Information–bit error rate and false positives in an MDS code'' (with F.J. Lobillo and G. Navarro), Advances in Mathematics of Communications, 9 (2015), 149-168.
  19. ''Monadic decompositions and classical Lie theory'' (with A. Ardizzoni and C. Menini), Applied Categorical Structures, 23 (2015), 93-105.
  20. “Cyclic convolutional codes over separable extensions” (with F.J. Lobillo and G. Navarro), in Coding Theory and Applications (eds. R. Pinto, P. R. Malonek and P. Vettori), CIM Series in Mathematical Sciences, Springer, 2015.
  21. “Separable automorphisms on matrix algebras over finite field extensions: applications to ideal codes” (with F.J. Lobillo and G. Navarro), in Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation (ISSAC '15). ACM, New York, NY, USA, 189-195.
  22. '' On isomorphisms of modules over non-commutative PID'' (with F. J. Lobillo and G. Navarro), ISSAC '14: International Symposium on Symbolic and Algebraic Computation Proceedings, ACM, 2014.
  23. ''Basic Module Theory over Non-Commutative Rings with Computational Aspects of Operator Algebras'', M. Barkatou et al. (Eds.): AADIOS 2012, Lecture Notes in Computer Science 8372, pp. 23-82, 2014. ERRATA
  24. ''On the category of weak bialgebras'' (with G. Böhm and E. López-Centella), Journal of Algebra 399 (2014), 801-844.
  25. “Generating idempotents in ideal codes” (with F.J. Lobillo and G. Navarro), ACM Communications in Computer Algebra 48 (3/4) (2014), 113-115
  26. ''A similarity test for Ore polynomials” (with F. J. Lobillo and G. Navarro), in: XIV Encuentro de Álgebra Computacional y Aplicaciones, pp. 123-126. Ed: J. Elias, J. Fernández-Sánchez, and M. Sombra, Barcelona, 2014. ISBN 978-84-697-0651-0.
  27. ''Firm Frobenius monads and Firm Frobenius algebras'' (with G. Böhm), Bulletin Mathématique de la Societé des Sciences Mathématiques de Roumanie, 56 (2013), 281-298.
  28. ''The FGF Conjecture and the singular ideal of a ring'' (with P. A. Guil Asensio), Journal of Algebra and its Applications, 12 (2013) 1350025 [13 pages].
  29. ''On the double crossed product of weak Hopf algebras'' (with G. Böhm), in ‘Hopf Algebras and Tensor Categories’, N. Andruskiewitsch et al. eds., Contemporary Mathematics, 585 (2013), 153-173.
  30. “Bilinear factorizations of Algebras”, (with G. Böhm), Bulletin of the Belgian Mathematical Society Simon Stevin 20 (2013), 1-24. // download preprint
  31. “Invertible unital bimodules over rings with local units, and related exact sequences of groups” (with L. El Kaoutit), Journal of Algebra, 370 (2012), 266-296. // download preprint
  32. “A bicategorical version of Masuoka's Theorem. ” (with B. Mesablishvili), Algebras and Representation Theory, 15 (2012), 147-194.
  33. “On the set of grouplikes of a coring” (with L. El Kaoutit), Acta Mathematica Sinica, English Series, 28 (2012), 195-204.
  34. ''Some computational problems in noncommutative polynomials'', Libro de abstracts del XIII Encuentro de Álgebra Computacional y Aplicaciones, pp. 21-24. Ed: J.R. Sendra, C. Villarino, Universidad de Alcalá de Henares, 2012.
  35. “Coinduction functors and simple comodules over corings” (with L. El Kaoutit), Annali dell'Universitá di Ferrara Sez. VII Sci. Mat. 56 (2010), no. 1, 21-35.
  36. “Invertible unital bimodules over rings with local units, and related exact sequences of groups” (with L. El Kaoutit), Journal of Algebra, 323 (2010), no. 1, 224-240.
  37. “''Hopftools.lib, a Singular library to work with Hopf algebras'' (with F. J. Lobillo) Libro de abstracts del XII Encuentro de Álgebra Computacional y Aplicaciones, pp. 142-146. Ed: J. L. Freire Nistal, M. Ladra, Universidade de Santiago de Compostela, 2010.
  38. “Corings with Decomposition and Semiperfect Corings” (with L. El Kaoutit), Algebras and Representation Theory 12 (2009), 343-356.
  39. “Serial coalgebras and their valued Gabriel quivers” (with G. Navarro), Journal of Algebra 319 (2008), 5039-5059.
  40. “Corings with exact rational functors and injective objects” (with L. El Kaoutit), in “Modules and Comodules”, Brzezinski, T.; Gómez Pardo, J.L.; Shestakov, I.; Smith, P.F. (Eds.) , Trends in Mathematics, Birkhauser, 2008, 185-201.
  41. ''Comatrix corings and Galois comodules over firm rings'' (with J. Vercruysse), Algebras and Representation Theory 10 (2007), 271-306.
  42. ''Galois corings and a Jacobson-Bourbaki type correspondence'' (with J. Cuadra), Journal of Algebra 308 (2007), 178-198.
  43. ''Localization in coalgebras. Applications to finiteness conditions'' (with C. Nastasescu and B. Torrecillas), Journal of Algebra and its Aplications 6 (2007), 233-243.
  44. ''Comonads and Galois corings'', Applied Categorical Structures 14 (2006), 579-598.
  45. "Inégalité de Bernstein pour une localization simple de l'espace symplectique quantique; (with J. L. Bueso and L. El Kaoutit), Communications in Algebra 34 (2006), 3615-3627.
  46. "The bicategories of corings" (with T. Brzezinski and L. El Kaoutit), Journal of Pure and Applied Algebra 205 (2006), 510-541.
  47. "Comatrix corings and invertible bimodules" (with L. El Kaoutit), Annali dell'Universitá di Ferrara, S. VII. 51 (2005), 263-280.
  48. "Morita duality for corings over Quasi-Frobenius rings " (with L. El Kaoutit), in Hopf Algebras in Noncommutative Geometry and Physics, S. Caenepeel, F. Van Oystaeyen, eds, Lecture Notes in Pure and Applied Mathematics (Marcel Dekker), vol 239, 137-153, 2005
  49. "Infinite Comatrix Corings" (with L. El Kaoutit), International Mathematical Research Notices 39 (2004), 2017-2037.
  50. "Serial Coalgebras" (with J. Cuadra), Journal of Pure and Applied Algebra 189 (2004) 89-107.
  51. "Sur une classe d'extensions de Ore itérées" (with L. El Kaoutit), Bulletin des Sciences Mathematiques 128 (2004), 57-76.
  52. "Auslander-Regular and Cohen-Macaulay Quantum Groups" (with F. J. Lobillo), Algebras and Representation Theory 7 (2004), 35-42.
  53. "Semisimple corings" (with L. El Kaoutit and F. J. Lobillo), Algebra Colloquium, 11 (2004), 427-442.
  54. "On comatrix corings and bimodules" (with T. Brzezinski), K-Theory 29 (2003), 101-115.
  55. "Adjoint functors and equivalences of subcategories " (with F. Castaño Iglesias and R. Wisbauer), Bulletin des Sciences Mathematiques 127 (2003), 379-395.
  56. "Algorithmic Methods in Non-Commutative Algebra" (with J. L. Bueso and A. Verschoren), Mathematical Modelling:Theory and Applications vol. 17. Kluwer Academic Publishers, 2003.
  57. "Comatrix Corings: Galois Corings, Descent Theory, and a Structure Theorem for Cosemisimple Corings" (with L. El Kaoutit), Mathematische Zeitschrift 244 (2003), 887-906.
  58. "Coseparable Corings" (with A. Louly), Communications in Algebra 31 (2003), 4455-4471.
  59. "Quasi-co-Frobenius coalgebras, II" (with C. Manu and C. Nastasescu), Communications in Algebra 31 (2003), 5169-5177.
  60. "Separable functors in corings" International Journal of Mathematics and Mathematical Sciences, 30 (2002), 203-226.
  61. "The group of automorphisms of the coordinate ring of quantum symplectic space" (with L. El Kaoutit), Beitrage zur Algebra und Geometrie, 43 (2002), 597-601.
  62. "FTF rings and Frobenius extensions" (with B. Torrecillas), J. Algebra, 248 (2002), 1-14.
  63. "Idempotents and Morita-Takeuchi Theory" (with J. Cuadra), Communications in Algebra 30(2002), 2405-2426.
  64. " Extendiendo módulos estrellas en la categoría Doi-Koppinen "(with F. Castaño), Actas del Encuentro de Matemáticos Andaluces Vol. 2, pp. 261-268, ISBN 8447206394, Sevilla, 2001.
  65. "Regularidad de las álgebras envolventes cuantizadas'' Actas del Encuentro de Matemáticos Andaluces Vol. 2, pp. 493-500 , ISBN 8447206394, Sevilla, 2001.
  66. "Prime and primitive ideals of a class of iterated skew polynomial rings" (with L. El Kaoutit), J. Algebra, 244 (2001), 186-216.
  67. "Re-filtering and exactness of the Gelfand-Kirillov dimension" (with J. L. Bueso and F. J. Lobillo), Bull. Sci. Math., 125 (2001), 689-715.
  68. "Duality and rational modules in Hopf algebras over commutative rings", (with J. Y. Abuhlail and F.J. Lobillo), J. Algebra, 240 (2001), 165-184.
  69. "Prime ideals of the coordinate ring of quantum symplectic space", (with M. Benyakoub and L. El Kaoutit), Comm. Algebra, 29 (2001), 3179-3197.
  70. "Primality Test in Iterated Ore Extension", (with J. L. Bueso, F.J. Lobillo and F.J. Castro), Comm. Algebra, 29 (2001), 1357-1371.
  71. "Homological computations in PBW modules", (with J.L. Bueso and F.J. Lobillo), Algebras and Representation Theory, 4 (2001), 201-218.
  72. "Computing the Gelfand-Kirillov II", (with J. L. Bueso and F. J. Lobillo), en Ring Theory and Algebraic Geometry, Granja, Hermida, Verschoren eds. Lecture Notes in Pure Appl. Math. 221, 33--57, Marcel-Dekker, 2001. Marcel-Dekker.
  73. "Poincaré Series of multifiltered algebras and partitivity", (with T. H. Lenagan), J. London Math. Soc., 62 (2000), 370-380.
  74. "Global homological dimension of multifiltered rings and quantized enveloping algebras", (with F.J. Lobillo), J. Algebra, 225 (2000), 522-533.
  75. "Dual coalgebras of algebras over commutative rings" (with J. Abuhlail and R. Wisbauer), J. Pure Appl. Algebra, 153 (2000) 107-120.
  76. "Test de primalité dans une extension de Ore itéré" (with J.L. Bueso, F.J. Castro and F.J. Lobillo), C.R. Acad. Sci. Paris, t. 328, Série I, p. 459-462, 1999.
  77. "Frobenius Functors. Applications" (with F. Castaño and C. Nastasescu), Comm. Algebra, 27 (1999), 4879-4900.
  78. "Gelfand-Kirillov dimension of multi-filtered algebras", Proc. Edinbugh Math. Soc. 42 (1999), 155-168.
  79. "¿Cuándo un álgebra finitamente generada es de tipo Poincaré-Birkhoff-Witt?, (with J.L. Bueso and F.J. Lobillo), Actas EACA'99, pp.195-204, Facultad de Matemáticas, Universidad de la Laguna (1999).
  80. "Coalgebras and comodules over a commutative ring", Rev. Roum. Math. Pures Appl. 43 (1998), 591-603.
  81. "Wide Morita contexts and equivalences of comodule categories" (with F. Castaño), J. Pure Appl. Algebra 131 (1998), 213-225.
  82. "Separable functors in graded rings" (with F. Castaño and C. Nastasescu), J. Pure Appl. Algebra 127 (1998), 219-230.
  83. "Algorithmic methods in Non-Commutative Algebra: Applications to Quantum groups" (with J. L. Bueso and A. Verschoren), Actas del EACA'98, pp. 164-170, Dpto. de Álgebra de la Universidad Complutense y Dpto. de Matemáticas de la Universidad de Alcalá (1998).
  84. "Effective computation of the Gelfand-Kirillov dimension for modules over Poincaré-Birkhoff-Witt algebras with non quadratic relations" (with J.L. Bueso and F.J. Lobillo), Actas del EACA'98, pp. 34-40, Dpto. de Álgebra de la Universidad Complutense y Dpto. de Matemáticas de la Universidad de Alcalá (1998).
  85. "An introduction to effective calculus in quantum groups" (with J.L. Bueso, F.J. Castro and F.J. Lobillo), in `Rings, Hopf algebras and Brauer groups' S. Caenepeel and A. Verschoren, eds., pp. 55-83.
  86. "Separable functors over coalgebras. Applications" (with F. Castaño and C. Nastasescu), Tsukuba J. Math. 21 (1997), 329-344.
  87. "The efective computation of the Gelfand-Kirillov dimension in quantum groups" (with J.L. Bueso, F.J. Castro and F.J. Lobillo), SAC Newsletters 1, 1996.
  88. "Locally finite representations of algebras" (with P. Jara and L. Merino), Comm. Algebra 24 (1996), 4581-4601.
  89. "Colby-Fuller dualities between coalgebras" (with C. Nastasescu), J. Algebra 185 (1996), 527-543.
  90. "Wide left Morita contexts and equivalences" (with F. Castaño), Rev. Roum. Math. Pures Appl. 41 (1996), 17-26.
  91. "Graded FTF rings" (with B. Torrecillas), Travaux en cours 51 (1996), 85-96.
  92. "Wide Morita contexts" (with F. Castaño), Comm. Algebra 23 (1995), 601-622.
  93. "Morita contexts for Grothendieck categories" (with F. Castaño), Actas del congreso internacional de teoría de anillos, pp. 11-21, Servicio de publicaciones de la Universidad de Almería (1995).
  94. "Quasi-co-Frobenius coalgebras" (with C. Nastasescu), J. Algebra 174 (1995), 909-923.
  95. "Graded prime spectra of rings graded by finite groups" (with B. Torrecillas), Comm. Algebra 22 (1994), 4931-4961.
  96. "Stable Clifford Theory for divisorially graded rings" (with B. Torrecillas), Bull. Belg. Math. Soc. - Simon Stevin 1 (1994), 623-641.
  97. "Flat torsionfree modules and QF-3 rings" (with B. Torrecillas), Osaka J. Math 30 (1993), 529-542.
  98. "Strongly graded left FTF rings" (with B. Torrecillas), Pub. Mat. 36 (1992), 609-623.
  99. "Anillos k-divisorialmente graduados" (with M.J. Asensio and B. Torrecillas), XV Jornadas Hispano-Lusas de Matemáticas, vol I. pp. 107-112, Departamento de Matemática da Universidade de Evora (1991).
  100. "Krull dimensions of divisorially graded rings" (with M.J. Asensio and B. Torrecillas), Comm. Algebra 19 (1991), 3447-3464.
  101. "Torsionfree covers and covers by submodules of flat modules" (with B. Torrecillas), Comm. Algebra 19 (1991), 803-827. Corrigendum in Comm. Algebra 20 (1992), 625-630.
  102. "Técnicas para el estudio de los módulos no singulares", XIV Jornadas Hispano-Lusas de Matemáticas, vol. I., pp. 57-62, Secretariado de publicaciones de la Unversidad de La Laguna (1990).