Unary iterative hyperidentities for semigroups and inverse semigroups
type: Item
instance of: scholarly article
title: Unary iterative hyperidentities for semigroups and inverse semigroups
zbMATH Open document ID: 0885.20034
DOI: 10.1007/PL00005924
author: M. García
published in: Semigroup Forum
publication date: 1998-02-17T00:00:00Z
review text: Unary iterative hyperidentities (u.i.h.) are conditions of the form \(F^a(x)=F^{a+b}(x)\), where \(F\) is a unary operation symbol, and \(a,b\geq 1\). Let \(V_{n,m}\) denote the variety of [inverse] semigroups defined by the identity \(x^n=x^{n+m}\). For each u.i.h., the largest variety of [inverse] semigroups satisfying it is found; the variety is one of \(V_{n,m}\), except for one special case for inverse semigroups. For each variety of [inverse] semigroups \(V_{n,m}\), the minimal (i.e. the strongest) u.i.h. holding in it is found.
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 20M18
zbMATH DE Number: 1057428
zbMATH Keywords: iterative hyperidentities
zbMATH Keywords: varieties of semigroups
zbMATH Keywords: varieties of inverse semigroups
MaRDI profile type: Publication
full work available at URL: pl00005924
OpenAlex ID: W1998476459
description: scientific article; zbMATH DE number 1057428