Adjoint functors and equivalences of subcategories
type: Item
instance of: scholarly article
title: Adjoint functors and equivalences of subcategories
zbMATH Open document ID: 1029.18003
DOI: 10.1016/S0007-4497(03)00043-5
author: Florencio Castaño Iglesias
author: Robert Wisbauer
author: José Gómez-Torrecillas
published in: Bulletin des Sciences Mathématiques
publication date: 2003-09-15T00:00:00Z
review text: The authors consider adjoint pairs of covariant functors between complete and cocomplete abelian categories. They investigate equivalences induced by the specified pairs of functors between some subcategories of the categories with the properties mentioned above. In such a way the authors develop a theory which essentially generalizes the theory of Morita equivalence between categories of modules. This general scheme is also used for categories of modules over corings.
reviewed by: M. Ya. Komarnitskiy
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16P20
Mathematics Subject Classification ID: 18A35
Mathematics Subject Classification ID: 18E10
zbMATH DE Number: 1981566
zbMATH Keywords: adjoint functors
zbMATH Keywords: equivalence of categories
zbMATH Keywords: Morita theory
zbMATH Keywords: comodules
MaRDI profile type: Publication
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full work available at URL: s0007-4497(03)00043-5
OpenAlex ID: W2023751357
description: scientific article; zbMATH DE number 1981566