B. Torrecillas

Research interests

Publications

• Quasi-quantum groups obtained from the Tannaka-Krein reconstruction theorem

  Contemporary mathematics - American Mathematical Society · 2020 · 10.1090/conm/751/15086

• Gorenstein conditions over triangular matrix rings

  Journal of Pure and Applied Algebra · 2014 · 10.1016/j.jpaa.2013.12.006

• Ideal approximation theory

  Advances in Mathematics · 2013 · 10.1016/j.aim.2013.05.020

• From Hopf Algebras to Tensor Categories

  Mathematical lectures from Peking University · 2013 · 10.1007/978-3-642-39383-9_1

• The braided monoidal structures on the category of vector spaces graded by the Klein group

  Proceedings of the Edinburgh Mathematical Society · 2011 · 10.1017/s0013091509001746

• Involutory Quasi-Hopf Algebras

  Algebras and Representation Theory · 2009 · 10.1007/s10468-009-9142-9

• Covers in finitely accessible categories

  Proceedings of the American Mathematical Society · 2009 · 10.1090/s0002-9939-09-10178-8

• The representation-theoretic rank of the doubles of quasi-quantum groups

  Journal of Pure and Applied Algebra · 2007 · 10.1016/j.jpaa.2007.07.011

• Two-sided Two-cosided Hopf Modules and Yetter–Drinfeld Modules for Quasi-Hopf Algebras

  Applied Categorical Structures · 2006 · 10.1007/s10485-006-9045-4

• Radford's S4 formula for co-Frobenius Hopf algebras

  Journal of Algebra · 2006 · 10.1016/j.jalgebra.2006.06.004

• Morita Duality for Grothendieck Categories with Applications to Coalgebras

  Communications in Algebra · 2005 · 10.1080/00927870500261397

• Factorizable quasi-Hopf algebras—applications

  Journal of Pure and Applied Algebra · 2004 · 10.1016/j.jpaa.2004.04.010

• The splitting problem for coalgebras

  Journal of Algebra · 2004 · 10.1016/j.jalgebra.2004.06.004

• Flat Covers and Flat Representations of Quivers

  Communications in Algebra · 2004 · 10.1081/agb-120028784

• Co-Frobenius Hopf Algebras: Integrals, Doi–Koppinen Modules and Injective Objects

  Journal of Algebra · 1999 · 10.1006/jabr.1999.7934

• Covers and Envelopes over gr-Gorenstein Rings

  Journal of Algebra · 1999 · 10.1006/jabr.1998.7722

• Multiplication objects in commutative grothendieck categories

  Communications in Algebra · 1998 · 10.1080/00927879808826244

• Colocalization on Grothendieck Categories with Applications to Coalgebras

  Journal of Algebra · 1996 · 10.1006/jabr.1996.0315

• Hereditary coalgebras

  Communications in Algebra · 1996 · 10.1080/00927879608825649

• The Brauer Group of a Cocommutative Coalgebra

  Journal of Algebra · 1995 · 10.1006/jabr.1995.1311

• Torsion theories for coalgebras

  Journal of Pure and Applied Algebra · 1994 · 10.1016/0022-4049(94)00009-3

• Relative injective covers

  Communications in Algebra · 1994 · 10.1080/00927879408825001

• Graded coalgebras

  Tsukuba Journal of Mathematics · 1993 · 10.21099/tkbjm/1496162273

• Local cohomology and localization

  Longman Scientific & Technical , Wiley eBooks · 1989

Current projects

No projects listed.