Some open problems in the structure theory of regular semigroups
type: Item
instance of: scholarly article
title: Some open problems in the structure theory of regular semigroups
zbMATH Open document ID: 1002.20040
author: Mária B. Szendrei
published in: Semigroup Forum
publication date: 2002-05-30T00:00:00Z
review text: The author recalls the relevant structure theorems for inverse semigroups involving, respectively, fundamental inverse semigroups, \(E\)-unitary inverse semigroups and factorizable inverse semigroups, and she formulates research problems which ask for a generalization of the reviewed structure theorems to wider classes of regular semigroups such as locally inverse semigroups or orthodox semigroups. Several variants of the notion of a semidirect product of a regular semigroup by a group are brought to the attention of the reader. Also included are problems concerning free inverse semigroups on commuting generators and problems on commutative nilsemigroups.
Mathematics Subject Classification ID: 20M17
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 20M19
Mathematics Subject Classification ID: 20M14
zbMATH DE Number: 1747977
zbMATH Keywords: \(E\)-unitary covers
zbMATH Keywords: fundamental inverse semigroups
zbMATH Keywords: \(E\)-unitary inverse semigroups
zbMATH Keywords: factorizable inverse semigroups
zbMATH Keywords: problems
zbMATH Keywords: regular semigroups
zbMATH Keywords: locally inverse semigroups
zbMATH Keywords: orthodox semigroups
zbMATH Keywords: semidirect products
zbMATH Keywords: free inverse semigroups
zbMATH Keywords: commutative nilsemigroups
reviewed by: Francis Pastijn
MaRDI profile type: Publication
full work available at URL: s002330010100
OpenAlex ID: W2087029700
DOI: 10.1007/S002330010100
description: scientific article; zbMATH DE number 1747977