scientific article; zbMATH DE number 909651

zbMath0856.18007MaRDI QIDQ4888142

Enrico M. Vitale

Publication date: 17 February 1997

Full work available at URL: http://www.numdam.org/item?id=CTGDC_1996__37_2_91_0

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zbMATH Keywords

Azumaya algebraPicard groupsymmetric monoidal categoriesBrauer groupBrauer-Taylor group

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological algebra in category theory, derived categories and functors (18G99) Symmetric monoidal categories (19D23)

Related Items (9)

Unnamed Item ⋮ Unnamed Item ⋮ INVERTIBLE BIMODULES, MIYASHITA ACTION IN MONOIDAL CATEGORIES AND AZUMAYA MONOIDS ⋮ Brauer groups and étale cohomology in derived algebraic geometry ⋮ Invertible braided tensor categories ⋮ Azumaya objects in triangulated bicategories ⋮ The relative Picard functor on schemes over a symmetric monoidal category ⋮ A Picard-Brauer exact sequence of categorical groups ⋮ A Brauer-Clifford-long group for the category of dyslectic \((S, H)\)-dimodule algebras

Cites Work

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• A bigger Brauer group
• The bigger Brauer group and étale cohomology
• Coherence for compact closed categories
• Bimodules, the Brauer group, Morita equivalence, and cohomology
• On the notion of bimodel for functorial semantics
• The Brauer group of dimodule algebras
• Théorie de la descente et algèbres d'Azumaya
• The Brauer group of a ringed space
• Some exact sequences in algebraic K-theory
• Lectures on topics in algebraic \(K\)-theory
• The Brauer Group of a Closed Category
• Morita Contexts of Enriched Categories
• The Brauer Group of a Commutative Ring
• Separable algebroids
• Morita equivalence of algebraic theories
• Some theorems on azumaya algebras
• A Generalization of the Brauer Group of Graded Algebras
• Graded Brauer Groups.

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