Decomposition techniques for finite semigroups, using categories. I
type: Item
instance of: scholarly article
title: Decomposition techniques for finite semigroups, using categories. I
zbMATH Open document ID: 0684.20054
DOI: 10.1016/0022-4049(89)90138-2
author: Yanyan Li
published in: Journal of Pure and Applied Algebra
publication date: 1989-01-01T00:00:00Z
review text: A surjective morphism of semigroups \(\theta\) : \(S\to T\) is said to be a maximal proper surmorphism if \(\theta\) is not an isomorphism and, for any factorization \(\theta =\theta_ 1\theta_ 2\), one the factors \(\theta_ 1\) and \(\theta_ 2\) is an isomorphism. The paper presents a refinement of the classification of maximal proper surmorphisms of finite semigroups obtained by \textit{J. Rhodes} [Math. Syst. Theory 1, 289-304 (1967; Zbl 0204.033)].
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 4120425
zbMATH Keywords: surjective morphism of semigroups
zbMATH Keywords: factorization
zbMATH Keywords: classification of maximal proper surmorphisms
zbMATH Keywords: finite semigroups
reviewed by: Jorge Almeida
MaRDI profile type: Publication
full work available at URL: 0022-4049(89)90138-2
OpenAlex ID: W2087218295
cites work: Q5570933
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cites work: Decomposition techniques for finite semigroups, using categories. II
description: scientific article; zbMATH DE number 4120425