no. 4
Groupoids and the Brauer group
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 41 (2000) no. 4, pp. 305-313 
@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},
     year = {2000},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {41},
     number = {4},
     mrnumber = {1805934},
     zbl = {0973.18006},
     language = {en},
     url = {https://www.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  - https://www.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 https://www.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. https://www.numdam.org/item/CTGDC_2000__41_4_305_0/

[1] B. Auslander: The Brauer group of a ringed space, J. Algebra 4 (1966) 220-273. | Zbl | MR

[2] H. Bass: Algebraic K-Theory, W.A. Benjamin Inc. (1968). | Zbl | MR

[3] J. Bénabou: Introduction to bicategories, Springer LNM 40 (1967) 1-77. | MR

[4] F. Borceux: Handbook of categorical algebra, Cambridge University Press (1994). | Zbl

[5] F. Borceux, E.M. Vitale: Azumaya categories, Applied Categorical Structures (to appear). | Zbl

[6] S. Caenepeel: Brauer groups, Hopf algebras and Galois theory, Kluwer Academic Publishers (1998). | Zbl | MR

[7] S. Caenepeel, F. Grandjean: A note on Taylor's Brauer group, Pacific J. Math. 186 (1998) 13-27. | Zbl | MR

[8] B. Day, R. Street: Monoidal bicategories and Hopf algebroids, Adv. Math. 129 (1997) 99-157. | Zbl | MR

[9] J.M. Fernandez Vilaboa, R. Gonzalez Rodriguez, E. Villanueva Novoa: The Picard-Brauer five-term exact sequence for a cocommutative finite Hopf algebra, J. Algebra 186 (1996) 384-400. | Zbl

[10] R. Gonzalez Rodriguez: La sucesion exacta..., Ph. D. Thesis, Santiago de Compostela (1994).

[11] R. Gordon, A.J. Power, R. Street: Coherence for tricategories, Mem. Am. Math. Soc. 558 (1995). | Zbl

[12] F. Grandjean, E.M. Vitale: Morita equivalence for regular algebras, Cahier de Topologie Géomtrie Différentielle Catégoriques 39(1998) 137-153. | Zbl | Numdam

[13] S. Kasangian, E.M. Vitale: 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] G.M. Kelly, M.L. Laplaza: Coherence for compact closed categories, J. Pure Applied Algebra 19 (1980) 193-213. | Zbl

[15] M.L. Laplaza: Coherence for categories with group structure: an alternative approach, J. Algebra 84 (1983) 305-323. | Zbl

[16] F.W. Long: The Brauer group of dimodule algebras, J. Algebra 30 (1974) 559-601. | Zbl

[17] B. Mitchell: Separable algebroids, Mem. Am. Math. Soc. 333 (1985). | Zbl

[18] M.-A. Moens, U. Berni-Canani, F. Borceux: On regular presheaves and regular graphs, preprint (1999).

[19] M.-A. Moens, F. Borceux: On Azumaya graphs, preprint (2000).

[20] M. Orzech: Brauer groups and class groups for a Krull domain, Springer LNM 917 (1982) 66-90. | Zbl

[21] I. Raeburn, J.L. Taylor: The bigger Brauer group and étale cohomology, Pacific J. Math. 119 (1985) 445-463. | Zbl

[22] J.L. Taylor: A bigger Brauer group, Pacific J. Math. 103 (1982) 162-203. | Zbl

[23] A. Verschoren: Exact sequences for relative Brauer groups and Picard groups, J. Pure Applied Algebra 28 (1983) 93-108. | Zbl

[24] A. Verschoren: Brauer groups and class groups for Krull domains: A K-theoretic approach, J. Pure Applied Algebra 33 (1984) 219-224. | Zbl

[25] A. Verschoren: Relative invariants of sheaves, Marcel Dekker (1987). | Zbl

[26] E.M. Vitale: The Brauer and Brauer-Taylor groups of a symmetric monoidal category, Cahier Topologie Géométrie Différentielle Catégoriques 37 (1996) 91-122. | Zbl | Numdam

[27] E.M. Vitale: A Picard-Brauer exact sequence of categorical groups, preprint (2000). | Zbl