Solvability in inverse semigroups
type: Item
instance of: scholarly article
title: Solvability in inverse semigroups
zbMATH Open document ID: 0604.20058
DOI: 10.1007/BF02573169
author: Brunetto Piochi
published in: Semigroup Forum
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134845
review text: The least commutative congruence on an inverse semigroup is characterized in terms of its kernel and trace. By using this characterization, a notion is introduced, which extends to inverse semigroups the classical notion of solvability in groups. Several properties are studied, in order to generalize well-known theorems from Group Theory.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 3975231
zbMATH Keywords: least commutative congruence
zbMATH Keywords: kernel
zbMATH Keywords: trace
zbMATH Keywords: inverse semigroups
zbMATH Keywords: solvability
MaRDI profile type: Publication
cites work: The lattice of congruences on an inverse semigroup
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cites work: Congruences on inverse semigroups
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cites work: A Network of Congruences on an Inverse Semigroup
description: scientific article; zbMATH DE number 3975231