Embedding of regular semigroups in wreath products. II
type: Item
instance of: scholarly article
title: Embedding of regular semigroups in wreath products. II
zbMATH Open document ID: 0606.20050
DOI: 10.1016/0022-4049(86)90040-X
author: R. J. Warne
published in: Journal of Pure and Applied Algebra
publication date: 1986-01-01T00:00:00Z
review text: [Part I see ibid. 29, 177-207 (1983; Zbl 0572.20045.] A semigroup \({\mathcal S}\) is called natural locally \({\mathcal R}\)-unipotent if the union of its maximal subgroups is a sub-semigroup and for each idempotent element \(e\in {\mathcal S}\) the \({\mathcal R}\)-class of e\({\mathcal S}e\) contains exactly one idempotent. The main result of this paper (Theorem 37 of 50 numbered lemmas, remarks, propositions, theorems, and corollaries!) provides an embedding of natural locally \({\mathcal R}\)- unipotent semigroups in wreath products of simpler semigroups.
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 3979375
zbMATH Keywords: idempotent
zbMATH Keywords: embedding
zbMATH Keywords: natural locally \({\mathcal R}\)-unipotent semigroups
zbMATH Keywords: wreath products
MaRDI profile type: Publication
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full work available at URL: 0022-4049(86)90040-x
OpenAlex ID: W4213386009
description: scientific article; zbMATH DE number 3979375