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On Azumaya graphs - MaRDI portal

On Azumaya graphs (Q1868344)

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scientific article; zbMATH DE number 1901411
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English
On Azumaya graphs
scientific article; zbMATH DE number 1901411

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    On Azumaya graphs (English)
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    27 April 2003
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    An object \(A\) of a closed monoidal bicategory is Azumaya when the canonical morphism from the tensor unit to the endo-object of \(A\) is an equivalence. The authors investigate this notion for the monoidal bicategory whose objects are enriched categories without identities (over a base monoidal category) that are regular (in a suitable sense) and whose morphisms are regular modules.
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    Azumaya graph
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    enriched category
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    Brauer-Taylor group
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    separable graph
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    Brauer group
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    Morita equivalence
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