José Gómez Torrecillas

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José Gómez Torrecillas

Administrative data

Full member researcher

  • Position in UGR: Professor
    Research group: FQM-379

Contributions and research experience

Publications in ISI SCI

  • A Sugiyama-Like Decoding Algorithm for Convolutional Codes
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: IEEE TRANSACTIONS ON INFORMATION THEORY 63 10 6216 6226 2017
  • Ideal Codes Over Separable Ring Extensions
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: IEEE TRANSACTIONS ON INFORMATION THEORY 63 5 2796 2813 2017
  • Hereditary triangular matrix comonads
    Author-s: El Kaoutit, Laiachi; Gomez-Torrecillas, Jose
    Source: LINEAR & MULTILINEAR ALGEBRA 64 6 1032 1055 2016
  • A New Perspective of Cyclicity in Convolutional Codes
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: IEEE TRANSACTIONS ON INFORMATION THEORY 62 5 2702 2706 2016
  • CONVOLUTIONAL CODES WITH A MATRIX-ALGEBRA WORD-AMBIENT
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: ADVANCES IN MATHEMATICS OF COMMUNICATIONS 10 1 29 43 2016
  • WEAK MULTIPLIER BIALGEBRAS
    Author-s: Boehm, Gabriella; Gomez-Torrecillas, Jose; Lopez-Centella, Esperanza
    Source: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 367 12 10 2015
  • INFORMATION BIT ERROR RATE AND FALSE POSITIVES IN AN MDS CODE
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: ADVANCES IN MATHEMATICS OF COMMUNICATIONS 9 2 149 168 2015
  • Monadic Decompositions and Classical Lie Theory
    Author-s: Ardizzoni, Alessandro; Gomez-Torrecillas, Jose; Menini, Claudia
    Source: APPLIED CATEGORICAL STRUCTURES 23 1 93 105 2015
  • On the category of weak bialgebras
    Author-s: Boehm, Gabriella; Gomez-Torrecillas, Jose; Lopez-Centella, Esperanza
    Source: JOURNAL OF ALGEBRA 399 801 844 2014
  • THE FGF CONJECTURE AND THE SINGULAR IDEAL OF A RING
    Author-s: Gomez-Torrecillas, Jose; Guil Asensio, Pedro A.
    Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS 12 7 -1 -1 2013
  • A Bicategorical Version of Masuoka!s Theorem
    Author-s: Gomez-Torrecillas, J.; Mesablishvili, B.
    Source: ALGEBRAS AND REPRESENTATION THEORY 15 1 147 194 2012
  • On the set of grouplikes of a coring
    Author-s: El Kaoutit, L.; Gomez-Torrecillas, J.
    Source: ACTA MATHEMATICA SINICA-ENGLISH SERIES 28 1 195 204 2012
  • Invertible unital bimodules over rings with local units, and related exact sequences of groups
    Author-s: El Kaoutit, L.; Gomez-Torrecillas, J.
    Source: JOURNAL OF ALGEBRA 323 1 224 240 2010
  • Corings with Decomposition and Semiperfect Corings
    Author-s: El Kaoutit, L.; Gomez-Torrecillas, J.
    Source: ALGEBRAS AND REPRESENTATION THEORY 12 2-5 343 356 Conference on Noncommutative Rings and Geometry he SEP 17-22, 2007 Almeria, Almeria 2009
  • Comatrix corings and Galois comodules over firm rings
    Author-s: Gomez-Torrecillas, J.; Vercruysse, J.
    Source: ALGEBRAS AND REPRESENTATION THEORY 10 3 271 306 2007
  • Localization in coalgebras. Applications to finiteness conditions
    Author-s: Gomez-Torrecillas, J.; Nastasescu, C.; Torrecillas, B.
    Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS 6 2 233 243 2007
  • Galois corings and a Jacobson-Bourbaki type correspondence
    Author-s: Cuadra, J.; Gomez-Torrecillas, J.
    Source: JOURNAL OF ALGEBRA 308 1 178 198 2007
  • Comonads and Galois corings
    Author-s: Gomez-Torrecillas, J.
    Source: APPLIED CATEGORICAL STRUCTURES 14 5-6 579 598 2006
  • The bicategories of corings
    Author-s: Brzezinski, T; El Kaoutit, L; Gomez-Torrecillas, J
    Source: JOURNAL OF PURE AND APPLIED ALGEBRA 205 3 510 541 2006
  • Semisimple corings
    Author-s: El Kaoutit, L; Gomez-Torrecillas, J; Lobillo, FJ
    Source: ALGEBRA COLLOQUIUM 11 4 427 442 2004
  • Serial coalgebras
    Author-s: Cuadra, J; Gomez-Torrecillas, J
    Source: JOURNAL OF PURE AND APPLIED ALGEBRA 189 1-3 89 107 2004
  • Auslander-regular and Cohen-Macaulay quantum groups
    Author-s: Gomez-Torrecillas, J; Lobillo, FJ
    Source: ALGEBRAS AND REPRESENTATION THEORY 7 1 35 42 2004
  • On a class of iterate ore extensions
    Author-s: El Kaoutit, L; Gomez-Torrecillas, J
    Source: BULLETIN DES SCIENCES MATHEMATIQUES 128 1 57 76 2004
  • Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings
    Author-s: El Kaoutit, L; Gomez-Torrecillas, J
    Source: MATHEMATISCHE ZEITSCHRIFT 244 4 887 906 2003
  • Adjoint functors and equivalences of subcategories
    Author-s: Iglesias, FC; Gomez-Torrecillas, J; Wisbauer, R
    Source: BULLETIN DES SCIENCES MATHEMATIQUES 127 5 379 395 2003
  • On comatrix corings and bimodules
    Author-s: Brzezinski, T; Gomez-Torrecillas, J
    Source: K-THEORY 29 2 101 115 2003
  • FTF rings and Frobenius extensions
    Author-s: Gomez-Torrecillas, J; Torrecillas, B
    Source: JOURNAL OF ALGEBRA 248 1 1 14 2002
  • Prime and primitive ideals of a class of iterated skew polynomial rings
    Author-s: Gomez-Torrecillas, J; El Kaoutit, L
    Source: JOURNAL OF ALGEBRA 244 1 186 216 2001
  • Homological computations in PBW modules
    Author-s: Bueso, JL; Gomez-Torrecillas, J; Lobillo, FJ
    Source: ALGEBRAS AND REPRESENTATION THEORY 4 3 201 218 2001
  • Duality and rational modules in Hopf algebras over commutative rings
    Author-s: Abuhlail, JY; Gomez-Torrecillas, J; Lobillo, FJ
    Source: JOURNAL OF ALGEBRA 240 1 165 184 2001
  • Poincare series of multi-filtered algebras and partitivity
    Author-s: Torrecillas, JG; Lenagan, TH
    Source: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 62 370 380 2000
  • Global homological dimension of multifiltered rings and quantized enveloping algebras
    Author-s: Gomez-Torrecillas, J; Lobillo, FJ
    Source: JOURNAL OF ALGEBRA 225 2 522 533 2000
  • Primality test in iterated Ore extensions
    Author-s: Bueso, JL; Castro-Jimenez, FJ; Gomez-Torrecillas, J; Lobillo, FJ
    Source: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 328 6 459 462 1999
  • Gelfand-Kirillov dimension of multi-filtered algebras
    Author-s: Torrecillas, JG
    Source: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 42 155 168 1999
  • Invertible unital bimodules over rings with local units, and related exact sequences of groups, II
    Author-s: El Kaoutit, L.; Gomez-Torrecillas, J.
    Source: JOURNAL OF ALGEBRA 370 266 296 2012
  • Dual coalgebras of algebras over commutative rings
    Author-s: Abuhlail, JY; Gomez-Torrecillas, J; Wisbauer, R
    Source: JOURNAL OF PURE AND APPLIED ALGEBRA 153 2 107 120 2000
  • Serial coalgebras and their valued Gabriel quivers
    Author-s: Gomez-Torrecillas, Jose; Navarro, Gabriel
    Source: JOURNAL OF ALGEBRA 319 12 5039 5059 2008
  • Wide Morita contexts and equivalences of comodule categories
    Author-s: Iglesias, FC; Torrecillas, JG
    Source: JOURNAL OF PURE AND APPLIED ALGEBRA 131 3 213 225 1998
  • Colby-Fuller duality between coalgebras
    Author-s: Torrecillas, JG; Nastasescu, C
    Source: JOURNAL OF ALGEBRA 185 2 527 543 1996
  • QUASI-CO-FROBENIUS COALGEBRAS
    Author-s: TORRECILLAS, JG; NASTASESCU, C
    Source: JOURNAL OF ALGEBRA 174 3 909 923 1995
  • Separable functors in graded rings
    Author-s: Iglesias, FC; Torrecillas, JG; Nastasescu, C
    Source: JOURNAL OF PURE AND APPLIED ALGEBRA 127 3 219 230 1998
  • Computing separability elements for the sentence-ambient algebra of split ideal codes
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: JOURNAL OF SYMBOLIC COMPUTATION 83 211 227 40th International Symposium on Symbolic and Algeb 2015 Univ Bath, Bath, ENGLAND 2017
  • An isomorphism test for modules over a non-commutative PID. Applications to similarity of Ore polynomials
    Author-s: Gomez-Torrecillas, Jose; Lobillo, F. J.; Navarro, Gabriel
    Source: JOURNAL OF SYMBOLIC COMPUTATION 75 149 170 2016
  • Bilinear factorization of algebras
    Author-s: Boehm, Gabriella; Gomez-Torrecillas, Jose
    Source: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 20 2 221 244 2013
  • Firm Frobenius monads and firm Frobenius algebras
    Author-s: Boehm, Gabriella; Gomez-Torrecillas, Jose
    Source: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 56 3 281 298 2013
  • A Bernstein inequality for a simple localisation of the quantised symplectic space
    Author-s: Bueso, J. L.; El Kaoutit, L.; Gomez-Torrecillas, J.
    Source: COMMUNICATIONS IN ALGEBRA 34 10 3615 3627 2006
  • Infinite comatrix corings
    Author-s: El Kaoutit, L; Gomez-Torrecillas, J
    Source: INTERNATIONAL MATHEMATICS RESEARCH NOTICES 39 2017 2037 2004
  • Coseparable corings
    Author-s: Gomez-Torrecillas, J; Louly, A
    Source: COMMUNICATIONS IN ALGEBRA 31 9 4455 4471 2003
  • Quasi-co-Frobenius coalgebras. II
    Author-s: Gomez-Torrecillas, J; Manu, C; Nastasescu, C
    Source: COMMUNICATIONS IN ALGEBRA 31 10 5169 5177 2003
  • Idempotents and Morita-Takeuchi theory
    Author-s: Cuadra, J; Gomez-Torrecillas, J
    Source: COMMUNICATIONS IN ALGEBRA 30 5 2405 2426 2002
  • Primality test in iterated ore extensions
    Author-s: Bueso, JL; Gomez-Torrecillas, J; Lobillo, FJ; Castro, FJ
    Source: COMMUNICATIONS IN ALGEBRA 29 3 1357 1371 2001
  • Prime ideals of the coordinate ring of quantum symplectic space
    Author-s: Gomez-Torrecillas, J; El Kaoutit, L; Benyakoub, L
    Source: COMMUNICATIONS IN ALGEBRA 29 7 3179 3197 2001
  • Re-filtering and exactness of the Gelfand-Kirillov dimension
    Author-s: Bueso, JL; Gomez-Torrecillas, J; Lobillo, FJ
    Source: BULLETIN DES SCIENCES MATHEMATIQUES 125 8 689 715 2001
  • Frobenius functors: Applications
    Author-s: Iglesias, FC; Torrecillas, JG; Nastasescu, C
    Source: COMMUNICATIONS IN ALGEBRA 27 10 4879 4900 1999
  • Locally finite representations of algebras
    Author-s: Torrecillas, JG; Jara, P; Merino, L
    Source: COMMUNICATIONS IN ALGEBRA 24 14 4581 4601 1996
  • WIDE MORITA CONTEXTS
    Author-s: IGLESIAS, FC; TORRECILLAS, JG
    Source: COMMUNICATIONS IN ALGEBRA 23 2 601 622 1995
  • GRADED PRIME SPECTRA OF RINGS GRADED BY FINITE-GROUPS
    Author-s: TORRECILLAS, JG; TORRECILLAS, B
    Source: COMMUNICATIONS IN ALGEBRA 22 12 4931 4961 1994
  • TORSION-FREE COVERS AND COVERS BY SUBMODULES OF FLAT MODULES
    Author-s: GOMEZ, J; TORRECILLAS, B
    Source: COMMUNICATIONS IN ALGEBRA 20 2 625 630 1992
  • TORSION-FREE COVERS AND COVERS BY SUBMODULES OF FLAT MODULES
    Author-s: GOMEZ, J; TORRECILLAS, B
    Source: COMMUNICATIONS IN ALGEBRA 19 3 803 827 1991
  • KRULL DIMENSIONS OF DIVISORIALLY GRADED RINGS
    Author-s: ASENSIO, MJ; GOMEZ, J; TORRECILLAS, B
    Source: COMMUNICATIONS IN ALGEBRA 19 12 3447 3464 1991

Conferences in ISI CPCI-Science

  • On the double crossed product of weak Hopf algebras
    Author-s: Boehm, Gabriella; Gomez-Torrecillas, Jose
    Source: HOPF ALGEBRAS AND TENSOR CATEGORIES 585 153 173 International Conference on Hopf Algebras and Tens JUL 04-08, 2011 Univ Almeria, Univ Almeria, Univ Almeria 2013
  • Morita duality for corings over Quasi-Frobenius rings
    Author-s: El Kaoutit, L; Gomez-Torrecillas, J
    Source: HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY AND PHYSICS 239 137 153 Meeting on Hopf Algebras and Quantum Groups MAY 28-JUN 01, 2002 Royal Acad, Royal Acad, Royal Acad 2005
  • Computing the Gelfand-Kirillov dimension II
    Author-s: Bueso, JL; Gomez-Torrecillas, J; Lobillo, FJ
    Source: RING THEORY AND ALGEBRAIC GEOMETRY 221 33 57 5th International Conference on Algebra and Algebr 1999 UNIV LEON, LEON, SPAIN 2001
  • An introduction to effective calculus in quantum groups
    Author-s: Bueso, JL; Torrecillas, JG; Lobillo, FJ; Castro, FJ
    Source: RINGS, HOPF ALGEBRAS, AND BRAUER GROUPS: PROCEEDINGS OF THE FOURTH WEEK ON ALGEBRA AND ALGEBRAIC GEO 197 55 83 4th Week on Algebra and Algebraic Geometry Meeting SEP 12-13, 1996 UNIV ANTWERP, ANTWERP, BELGIUM 1998

Book chapters in ISI

  • Corings with exact rational functors and injective objects
    Author-s: El Kaoutit, L.; Gomez-Torrecillas, J.
    Source: MODULES AND COMODULES 185 201 International Conference on Modules and Comodules SEP 06-08, 2006 Univ Porto, Univ Porto, Univ Porto 2008
  • K-DIVISORIALLY GRADED RINGS
    Author-s: ASENSIO, MJ; GOMEZ, J; TORRECILLAS, B
    Source: FIFTEENTH PORTUGUESE-SPANISH CONFERENCE ON MATHEMATICS : PROCEEDINGS, VOLS 1-6 107 112 15TH PORTUGUESE - SPANISH CONFERENCE ON MATHEMATIC SEP 03-07, 1990 UNIV EVORA, UNIV EVORA, UNIV EVORA 1991

National Projects

  • Estructuras algebraicas no conmutativas: aplicaciones
    Principal Investigator: José Gómez Torrecillas
    Reference: MTM2013-41992-P
    Start date: 2014-01-01
    End date: 2017-12-31
    Research Group: FQM-379
    Amount to UGR: 46856.25
    Funding Agency: Ministerio de Economía y Competitividad
    Program: Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia. Subpograma Estatal de Generación de Conocimiento
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Local Projects

  • ALGEBRA Y TEORIA DE LA INFORMACION
    Principal Investigator: José Gómez Torrecillas
    Reference: GIFP-2015-1540-1
    Start date: 2016-10-17
    End date: 2025-12-31
    Research Group: FQM-379
    Amount to UGR: 6000.00
    Funding Agency: Vicerrectorado de Política Científica e Investigación
    Program: Programa de Fortalecimiento de las Capacidades de I+D+i
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