A note on regular semigroups with inverse transversals
type: Item
instance of: scholarly article
title: A note on regular semigroups with inverse transversals
zbMATH Open document ID: 0581.20057
DOI: 10.1007/BF02573188
author: Tatsuhiko Saito
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134799
review text: For a regular semigroup S with an inverse transversal \(S\circ\) the sets \(I=\{e\in S:\) \(e=ee^{\circ}\}\) and \(\Lambda =\{f\in S:\) \(f=f\circ f\}\) need not be subsemigroups of S. Assuming that they are, a theorem is proved describing the structure of S in terms of I, \(\Lambda\) and collections of mappings \(I\to I\), \(\Lambda\) \(\to \Lambda\).
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 3929301
zbMATH Keywords: regular semigroup
zbMATH Keywords: inverse transversal
zbMATH Keywords: subsemigroups
MaRDI profile type: Publication
cites work: Regular semigroups with a multiplicative inverse transversal
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cites work: Q3800298
description: scientific article; zbMATH DE number 3929301