46
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

The exact sequence for a monoidal functor between closed categories

, &
Pages 2727-2743 | Received 01 May 1995, Published online: 27 Jun 2007

References

  • Anderson , F.W. and Fuller , K.R. 1992 . “ Rings and categories of Modules ” . In Grad. Text in Math , Vol. 13 , Springer .
  • Auslander , B. 1966 . The Brauer Group of a Ringed Space . J. Algebra , 4 : 220 – 273 .
  • Auslander , M. and Goldman . 1960 . The Brauer Group of a Commutative Ring . Trans. Amer. Math, Soc , 97 : 367 – 409 .
  • Barja , J.M. 1977 . Teoremas de Mont a para Triples en Categories Cerrradas , Vol. 20 , Alzebra . Sabtiafo de Compostela
  • Bass , M. 1968 . Algebraic K-Theory Benjamin, New York
  • Bass , M. 1969 . Topics in Algebraic K-Theory , Bombay : Tata Institute of Fundamental Research .
  • Bunge , M. 1969 . Relative functor categories and categories of algebras . J, Algebra , 11 : 64 – 101 .
  • Eilemberg , S. and Kelly , G.M. Closed Categories . Proceedings in a Conference on Categorical Algebra,La Jolla . 1966 , Berlin. pp. 421 – 562 . Berlin : Springer Verlag .
  • Fernández Vilaboa , J.M. Grupos de Brauer y de Galois de un Algebra de Hopf en una categoria cerrada , Vol. 42 , Alxebra : Alexebra . Santiago de Compostela
  • Fernández Vilaboa , J.M. and López López , M.P. 1985 . “ Naturalided Respecto a un Functor Monoidal de la Succesión Exacta Rota 0 → B(C) → BM(C,H) → Galc(H) → 0 ” . In Aetas del VII Congreso de G.M.E.L Vol. I , Coimbra
  • Gonzáalez Rodríguez , R. 1994 . “ La Sucesion Exacta Pic(C) → Pic(D) → K1(F) → B(C) → B(D) en Categories Cerradas ” . In Aplicacion a la Teoria de Invarianies Relaiivos de Haces de Modulos , Santiago de Compostela . Tesis Doctoral
  • Jeremias , A. , López López , M.P. and Villanueva Novoa , E. 1993 . Localization in Symmetric Closed Grothendieck Categories . Bull. Soc, Math, Belgique , 45 : 197 – 221 .
  • López López , M.P. 1980 . Objetos de Galois sobre un Algebra de Hopf Finita , Vol. 25 , Alxebra : Santiago de Compostela .
  • López López , M.P. and Villanueva Novoa , E. The Brauer Group of the Category (R,σ)-Mod (An Alternative to the Theory of Relative Invariants) . Proc, of the First Belgian-Spanish Week on Algebra and Geometry .
  • Mac Lane , S. Categories for the working mathemaiicien , Vol. GTM 5 , Springer .
  • Orzech , M. 1982 . Brauer Groups and Class Groups for a Krull Domain , Vol. 917 , 66 – 90 . New York : Springer Verlag . Lecture Notes in Math
  • Pareigis , B. “ Non Additive Ring and Module Theory IV ” . In The Brauer Group of a Symmetric Monoidal Category , Vol. 549 , 112 – 133 . New York : Springer Verlag . Lecture Notes in Math
  • Van Oystaeyen , F. and Verschoren , A. 1983 . “ Relative Invariants of Rings ” . In The Commutative Theory , Vol. 79 , New York : M.Dekker . Lecture Notes in Pure and Appl. Math
  • Verschoren , A. 1984 . Brauer Groups and Class Groups of Krull Domains: a K-Theoretic approach . J. Pure and Appl. Algebra , 33 : 219 – 224 .
  • Verschoren , A. 1983 . Exact Sequences for Relative Brauer Groups and Picard Groups . J. Pure and Appl. Algebra , 28 : 93 – 108 .
  • Verschoren , A. 1980 . On the Picard Group of a Grothendieck Category . Coram. in Algebra , 8 : 1169 – 1194 .
  • Verschoren , A. 1987 . “ Relative Invariants of Sheaves ” . In Lecture Notes in Pure and Appl. Math , Vol. 104 , New York : M. Dekker .
  • Vidal , C. 1988 . El Grupo de Picard de una Categoria cerrada. (Una alternativa a la Teoria de Invariants relativos) , Vol. 48 , Alxebra : Santiago de Compostela .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.