Completely simple and completely 0-simple semigroup identities
type: Item
instance of: scholarly article
title: Completely simple and completely 0-simple semigroup identities
zbMATH Open document ID: 0648.20058
DOI: 10.1007/BF02573138
published in: Semigroup Forum
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134929
review text: This survey article concerns completely simple and completely 0-simple semigroup identities. Let K be some subclass of CS-semigroups and Id(K) the set of all identities which hold in all semigroups from K. The author considers two main problems. Problem A is to find a criterion for identities to belong to the set Id(K). Problem B is the problem of existence of a finite and irreducible basis for the given system of identities Id(K).
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20M07
zbMATH DE Number: 4057809
zbMATH Keywords: completely simple semigroups
zbMATH Keywords: basis of identities
zbMATH Keywords: completely 0-simple semigroup identities
author: Grigory Mashevitzky
MaRDI profile type: Publication
cites work: All Varieties of Central Completely Simple Semigroups
cites work: The Laws of Finite Pointed Groups
cites work: Completely O-simple semigroups and their associated graphs and groups
cites work: On bases of completely simple semigroup identities
description: scientific article; zbMATH DE number 4057809