\(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular
type: Item
instance of: scholarly article
title: \(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular
zbMATH Open document ID: 0899.20035
DOI: 10.1007/PL00005950
author: Zhenji Tian
published in: Semigroup Forum
publication date: 1998-11-16T00:00:00Z
review text: This paper studies the substructure lattice of a class of eventually regular semigroups: namely, those eventually regular semigroups with the property that every regular element has a unique inverse. These are the \(\pi\)-inverse semigroups of the title. Those \(\pi\)-inverse semigroups are characterised whose substructure lattices are 0-distributive or 0-modular.
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 06D05
Mathematics Subject Classification ID: 06C05
zbMATH DE Number: 1156726
zbMATH Keywords: \(\pi\)-inverse semigroups
zbMATH Keywords: eventually regular semigroups
zbMATH Keywords: regular elements
zbMATH Keywords: substructure lattices
zbMATH Keywords: lattices of subsemigroups
MaRDI profile type: Publication
full work available at URL: pl00005950
OpenAlex ID: W2043227285
description: scientific article; zbMATH DE number 1156726