The embedding of an ordered semigroup in a simple one with identity
type: Item
instance of: scholarly article
title: The embedding of an ordered semigroup in a simple one with identity
zbMATH Open document ID: 0862.06004
DOI: 10.1007/BF02574149
author: Niovi Kehayopulu
author: Michael Tsingelis
published in: Semigroup Forum
publication date: 1996-11-10T00:00:00Z
full work available at URL: https://eudml.org/doc/135497
review text: Let \((S,\cdot,\leq)\) be a partially ordered semigroup. A non-empty subset \(I\) of \(S\) is called an ideal, if it is downward closed in \((S,\leq)\) and closed under multiplication from the left and right by elements from \(S\). Then \(S\) is called simple, if it has no proper ideal. The authors show that any partially ordered semigroup can be embedded into one having an identity element.
Mathematics Subject Classification ID: 06F05
zbMATH DE Number: 943674
zbMATH Keywords: simple ordered semigroup
zbMATH Keywords: embedding
zbMATH Keywords: partially ordered semigroup
zbMATH Keywords: ideal
zbMATH Keywords: identity
reviewed by: Manfred Droste
MaRDI profile type: Publication
cites work: Q5532570
cites work: On intra-regular ve-semigroups
cites work: Q3204514
cites work: Q3204515
cites work: Q4713301
cites work: Q3980008
cites work: On subdirectly irreducible ordered semigroups
OpenAlex ID: W2141381329
description: scientific article; zbMATH DE number 943674