On Azumaya graphs
type: Item
instance of: scholarly article
title: On Azumaya graphs
zbMATH Open document ID: 1040.18005
DOI: 10.1023/A:1022395705820
author: M.-A. Moens
author: F. Borceux
published in: Algebras and Representation Theory
publication date: 2003-04-27T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 18D20
Mathematics Subject Classification ID: 13A20
zbMATH DE Number: 1901411
zbMATH Keywords: Azumaya graph
zbMATH Keywords: enriched category
zbMATH Keywords: Brauer-Taylor group
zbMATH Keywords: separable graph
zbMATH Keywords: Brauer group
zbMATH Keywords: Morita equivalence
reviewed by: Ross H. Street
MaRDI profile type: Publication
full work available at URL: a:1022395705820
OpenAlex ID: W1720076426
description: scientific article; zbMATH DE number 1901411