@article{CTGDC_2000__41_4_305_0, author = {Moens, M.-A. and Vitale, E. M.}, title = {Groupoids and the {Brauer} group}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {305--313}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {41}, number = {4}, year = {2000}, mrnumber = {1805934}, zbl = {0973.18006}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_2000__41_4_305_0/} }
TY - JOUR AU - Moens, M.-A. AU - Vitale, E. M. TI - Groupoids and the Brauer group JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2000 SP - 305 EP - 313 VL - 41 IS - 4 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_2000__41_4_305_0/ LA - en ID - CTGDC_2000__41_4_305_0 ER -
%0 Journal Article %A Moens, M.-A. %A Vitale, E. M. %T Groupoids and the Brauer group %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 2000 %P 305-313 %V 41 %N 4 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_2000__41_4_305_0/ %G en %F CTGDC_2000__41_4_305_0
Moens, M.-A.; Vitale, E. M. Groupoids and the Brauer group. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 41 (2000) no. 4, pp. 305-313. http://archive.numdam.org/item/CTGDC_2000__41_4_305_0/
[1] The Brauer group of a ringed space, J. Algebra 4 (1966) 220-273. | MR | Zbl
:[2] Algebraic K-Theory, W.A. Benjamin Inc. (1968). | MR | Zbl
:[3] Introduction to bicategories, Springer LNM 40 (1967) 1-77. | MR
:[4] Handbook of categorical algebra, Cambridge University Press (1994). | Zbl
:[5] Azumaya categories, Applied Categorical Structures (to appear). | Zbl
, :[6] Brauer groups, Hopf algebras and Galois theory, Kluwer Academic Publishers (1998). | MR | Zbl
:[7] A note on Taylor's Brauer group, Pacific J. Math. 186 (1998) 13-27. | MR | Zbl
, :[8] Monoidal bicategories and Hopf algebroids, Adv. Math. 129 (1997) 99-157. | MR | Zbl
, :[9] The Picard-Brauer five-term exact sequence for a cocommutative finite Hopf algebra, J. Algebra 186 (1996) 384-400. | Zbl
, , :[10] La sucesion exacta..., Ph. D. Thesis, Santiago de Compostela (1994).
:[11] Coherence for tricategories, Mem. Am. Math. Soc. 558 (1995). | Zbl
, , :[12] Morita equivalence for regular algebras, Cahier de Topologie Géomtrie Différentielle Catégoriques 39(1998) 137-153. | Numdam | Zbl
, :[13] Factorization systems for symmetric cat-groups, Theory and Applications of Categories 7 (2000) 47-70 (available at http://www.tac.mta.ca/tac/). | Zbl
, :[14] Coherence for compact closed categories, J. Pure Applied Algebra 19 (1980) 193-213. | Zbl
, :[15] Coherence for categories with group structure: an alternative approach, J. Algebra 84 (1983) 305-323. | Zbl
:[16] The Brauer group of dimodule algebras, J. Algebra 30 (1974) 559-601. | Zbl
:[17] Separable algebroids, Mem. Am. Math. Soc. 333 (1985). | Zbl
:[18] On regular presheaves and regular graphs, preprint (1999).
, , :[19] On Azumaya graphs, preprint (2000).
, :[20] Brauer groups and class groups for a Krull domain, Springer LNM 917 (1982) 66-90. | Zbl
:[21] The bigger Brauer group and étale cohomology, Pacific J. Math. 119 (1985) 445-463. | Zbl
, :[22] A bigger Brauer group, Pacific J. Math. 103 (1982) 162-203. | Zbl
:[23] Exact sequences for relative Brauer groups and Picard groups, J. Pure Applied Algebra 28 (1983) 93-108. | Zbl
:[24] Brauer groups and class groups for Krull domains: A K-theoretic approach, J. Pure Applied Algebra 33 (1984) 219-224. | Zbl
:[25] Relative invariants of sheaves, Marcel Dekker (1987). | Zbl
:[26] The Brauer and Brauer-Taylor groups of a symmetric monoidal category, Cahier Topologie Géométrie Différentielle Catégoriques 37 (1996) 91-122. | Numdam | Zbl
:[27] A Picard-Brauer exact sequence of categorical groups, preprint (2000). | Zbl
: