On Azumaya graphs

Moens, MA;Borceux, Francis
(2003) Algebras and Representation Theory — Vol. 6, n° 1, p. 71-95 (2003)

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  • Moens, MA
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  • Borceux, FrancisUCLouvain
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Abstract
We study Azumaya multiplicative graphs over a suitable base category, generalizing in this way the theory of Azumaya algebras over a ring, with or without unit, and the theory of enriched Azumaya categories. We exhibit the links with the corresponding notions of centrality, separability, Brauer group and Brauer-Taylor group.
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Moens, M., & Borceux, F. (2003). On Azumaya graphs. Algebras and Representation Theory, 6(1), 71-95. https://doi.org/10.1023/A:1022395705820 (Original work published 2003)