Separable functors in graded rings
type: Item
instance of: scholarly article
title: Separable functors in graded rings
zbMATH Open document ID: 0931.18001
DOI: 10.1016/S0022-4049(96)00181-8
published in: Journal of Pure and Applied Algebra
publication date: 2000-02-22T00:00:00Z
review text: \textit{C. Năstăsescu, M. Van den Bergh} and \textit{F. Van Oystaeyen} introduced the concept of separable functor [J. Algebra 123, No. 2, 397-413 (1989; Zbl 0673.16026)]. The authors obtain characterizations of separable adjoint functors in Grothendieck categories with projective generators. As particular cases the separability of the restriction of scalars, induction and coinduction functors associated to a graded homomorphism of group-graded rings is investigated. In the last section the relation between the separability of the preceding graded functors and the ungraded ones is considered.
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 18A22
Mathematics Subject Classification ID: 18E15
Mathematics Subject Classification ID: 16B50
zbMATH DE Number: 1308170
zbMATH Keywords: separable functors
zbMATH Keywords: graded rings
zbMATH Keywords: Grothendieck categories with projective generators
author: Florencio Castaño Iglesias
author: José Gómez-Torrecillas
author: Constantin Năstăsescu
reviewed by: Blas Torrecillas
MaRDI profile type: Publication
cites work: Group-graded rings and modules
cites work: Categorical methods in graded ring theory
cites work: Des catégories abéliennes
cites work: Separable functors applied to graded rings
cites work: Q3957087
cites work: Q3215398
cites work: Separable functors revisited
full work available at URL: s0022-4049(96)00181-8
OpenAlex ID: W1990476507
description: scientific article; zbMATH DE number 1308170