The structure of 0-bisimple strongly \(E^*\)-unitary inverse monoids.
type: Item
instance of: scholarly article
title: The structure of 0-bisimple strongly \(E^*\)-unitary inverse monoids.
zbMATH Open document ID: 1046.20039
author: Zhonghao Jiang
author: Mark V. Lawson
author: S. W. Margolis
published in: Semigroup Forum
publication date: 2003-08-31T00:00:00Z
review text: Let \(G\) be a group and let \(P\) be a submonoid of \(G\). For each \(x\in G\), let \(\beta_x\) be the partial permutation of \(P\) given by \(\beta_x(t)=xt\). Let \(S_1(G,P)\) be the inverse submonoid of \(I(P)\) generated by the \(\beta_x\) with \(x\in G\) and let \(S_2(G,P)\) be the inverse submonoid of \(I(P)\) generated by the \(\beta_x\) with \(x\in P\). The main results in the paper may be summarized as follows: a characterization of 0-bisimple strongly \(E^*\)-unitary inverse monoids as monoids of the form \(S_2(G,P)\); and a characterization of 0-bisimple strongly \(F^*\)-unitary inverse monoids as monoids of the form \(S_1(G,P)\).
reviewed by: Jorge Almeida
Mathematics Subject Classification ID: 20M18
zbMATH DE Number: 1972511
zbMATH Keywords: inverse monoids
zbMATH Keywords: strongly \(E^*\)-unitary semigroups
zbMATH Keywords: strongly 0-\(E\)-unitary semigroups
zbMATH Keywords: strongly \(F^*\)-unitary semigroups
zbMATH Keywords: 0-bisimple semigroups
zbMATH Keywords: Toeplitz inverse semigroups
MaRDI profile type: Publication
full work available at URL: s002330010163
OpenAlex ID: W2029341185
DOI: 10.1007/S002330010163
description: scientific article; zbMATH DE number 1972511