Decomposition of a locally associative LA-semigroup
type: Item
instance of: scholarly article
title: Decomposition of a locally associative LA-semigroup
zbMATH Open document ID: 0682.20049
DOI: 10.1007/BF02573386
author: Yanyan Li
published in: Semigroup Forum
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/135044
review text: We show that any locally associative LA-semigroup S with left identity is uniquely expressible as a semilattice of archimedean components. Also we show that S is separative if and only if the archimedean components of S are cancellative and that S can be embedded in a union of groups if and only if it is separative.
Mathematics Subject Classification ID: 20M99
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 4116829
zbMATH Keywords: locally associative LA-semigroup
zbMATH Keywords: semilattice of archimedean components
zbMATH Keywords: union of groups
reviewed by: Qaiser Mushtaq
MaRDI profile type: Publication
cites work: Q3848243
cites work: The irreducible representations of a semigroup related to the symmetric group
cites work: Q4111788
cites work: Q4748363
cites work: Q3889271
cites work: Q3770723
cites work: On decompositions of a commutative semigroup
Wikidata QID: Q56535822
description: scientific article; zbMATH DE number 4116829