Embedding semigroups in \({\mathcal D}\)-trivial semigroups
type: Item
instance of: scholarly article
title: Embedding semigroups in \({\mathcal D}\)-trivial semigroups
zbMATH Open document ID: 0584.20057
DOI: 10.1007/BF02573214
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134824
review text: The main purpose of this note is to show that to be embeddable in a congruence-free semigroup (without idempotents) which is \({\mathcal D}\)- trivial, that is, each \({\mathcal D}\)-class is a singleton, it is not sufficient for a semigroup itself to be \({\mathcal D}\)-trivial.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 3935338
zbMATH Keywords: congruence-free semigroup
author: Peter R. Jones
MaRDI profile type: Publication
cites work: Embedding any countable semigroup in a 2-generated bisimple monoid
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description: scientific article; zbMATH DE number 3935338