The lattice of pseudovarieties of inverse semigroups
type: Item
instance of: scholarly article
title: The lattice of pseudovarieties of inverse semigroups
zbMATH Open document ID: 0629.20031
author: B. George
published in: Pacific Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pjm/1102650281
review text: As introduced by Eilenberg and Schützenberger, a pseudovariety is a class of finite algebras closed under the formation of homomorphic images, subalgebras and direct products of finitely many algebras. Many previous results about the lattice of varieties of inverse semigroups are found to have analogues for the lattice of pseudovarieties of (finite) inverse semigroups. In particular, certain intervals are modular, including the interval consisting of the pseudovarieties of groups.
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 08C15
Mathematics Subject Classification ID: 08B15
Mathematics Subject Classification ID: 20M35
Mathematics Subject Classification ID: 20E10
zbMATH DE Number: 4023574
zbMATH Keywords: lattice of varieties of inverse semigroups
zbMATH Keywords: lattice of pseudovarieties
zbMATH Keywords: intervals
zbMATH Keywords: pseudovarieties of groups
MaRDI profile type: Publication
OpenAlex ID: W1984626780
DOI: 10.2140/PJM.1989.138.73
description: scientific article; zbMATH DE number 4023574