Power pseudovarieties of semigroups. II
type: Item
instance of: scholarly article
title: Power pseudovarieties of semigroups. II
zbMATH Open document ID: 0588.20034
DOI: 10.1007/BF02573210
author: Jorge Almeida
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134820
review text: [See also the preceding review.] If V is a permutative pseudovariety, i.e. every member of V satisfies some permutative identity \(x_ 1...x_ pyzx_{p+1}...x_ m=x_ 1...x_ pzyx_{p+1}...x_ m\), then \(P^ 2V\) and \(P'{}^ 2V\) can be characterized. If V is not permutative then \(P'{}^ 3V=S\). The results render a presentation of the semigroup of operators generated by P and P' which turns out to be finite.
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 08C15
zbMATH DE Number: 3944150
zbMATH Keywords: permutative pseudovariety
zbMATH Keywords: permutative identity
zbMATH Keywords: presentation
zbMATH Keywords: semigroup of operators
MaRDI profile type: Publication
cites work: Minimal non-permutative pseudovarieties of semigroups. II
cites work: Minimal non-permutative pseudovarieties of semigroups. III
cites work: Generalized varieties of commutative and nilpotent semigroups
cites work: Q4132170
cites work: On M-varieties generated by power monoids
cites work: Minimal noncommutative varieties and power varieties
cites work: Variétés de langages et monoide des parties
cites work: Recognizable sets and power sets of finite semigroups
OpenAlex ID: W4242445568
Recommended article: Power pseudovarieties of semigroups. I
Recommended article: On power varieties of semigroups
Recommended article: Q3758116
Recommended article: Q4421587
Recommended article: Q3315700
Recommended article: Q3469294
Recommended article: Pseudorecursive varieties of semigroups. II
Recommended article: Q4025871
Recommended article: Q4378249
Recommended article: On power commutative semigroups
description: scientific article; zbMATH DE number 3944150