Identities of a five-element \(0\)-simple semigroup
type: Item
instance of: scholarly article
title: Identities of a five-element \(0\)-simple semigroup
zbMATH Open document ID: 0813.20062
DOI: 10.1007/BF02573687
author: A. N. Trakhtman
published in: Semigroup Forum
publication date: 1994-06-16T00:00:00Z
full work available at URL: https://eudml.org/doc/135328
review text: The paper is an abridged translation of the author's preprint [Graphs of identities of a completely 0-simple five-element semigroup (in Russian) deposited at VINITI, Moscow in 1981, No. 5558-81)]. It contains a proof that the identities \(x^ 2 = x^ 3\), \(xyx = xyxyx\), \(xyxzx = xzxyx\) form a basis of identities of the five-element 0-simple semigroup \(A = \langle a,b\mid aba = a^ 2 = a,\;bab = b,\;b^ 2 = 0\rangle\).
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 563291
zbMATH Keywords: graphs of identities
zbMATH Keywords: basis of identities
zbMATH Keywords: five-element 0-simple semigroup
MaRDI profile type: Publication
cites work: Completely O-simple semigroups and their associated graphs and groups
cites work: Completely simple and completely 0-simple semigroup identities
cites work: Bases for equational theories of semi-groups
cites work: On the quasivarieties generated by finite semigroups
cites work: The varieties of n-testable semigroups
description: scientific article; zbMATH DE number 563291