On the question of embedding a semigroup into a semiband.
type: Item
instance of: scholarly article
title: On the question of embedding a semigroup into a semiband.
zbMATH Open document ID: 1304.20072
author: D. Kharzeev
published in: Semigroup Forum
publication date: 2014-09-12T00:00:00Z
review text: Semigroup \(S\) is an idempotent covered semigroup iff it is both the union of its idempotent-generated principal left ideals and the union of its idempotent-generated principal right ideals. For every idempotent covered semigroup \(S\) is constructed an embedding into a semiband of depth 4 (every element is the product of 4 idempotents) which is a subsemigroup of a semidirect product of \(S\times S\) by the two element right-zero semigroup; this embedding is compared with other known embeddings of semigroups into a semiband and its properties are studied.
reviewed by: Jaak Henno
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20M17
zbMATH DE Number: 6343966
zbMATH Keywords: semibands
zbMATH Keywords: embeddings
zbMATH Keywords: idempotent-generated semigroups
zbMATH Keywords: regular semigroups
zbMATH Keywords: idempotent covered semigroups
zbMATH Keywords: products of idempotents
MaRDI profile type: Publication
full work available at URL: s00233-013-9564-x
OpenAlex ID: W1992317616
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DOI: 10.1007/S00233-013-9564-X
description: scientific article; zbMATH DE number 6343966