Epimorphisms, dominions and amalgamation in pomonoids.
type: Item
instance of: scholarly article
title: Epimorphisms, dominions and amalgamation in pomonoids.
zbMATH Open document ID: 1335.06010
author: Nasir Sohail
published in: Semigroup Forum
publication date: 2015-10-12T00:00:00Z
review text: If \(f\colon S\to T\) is an epimorphism of monoids, then it is an epimorphism of pomonoids. The author shows that the converse statement also holds. That is, if \(f\colon S\to T\) is an epimorphism of pomonoids, then it is an epimorphism of monoids. In Theorem 1, one of the main results of the paper, the author shows that a subpomonoid \(U\) of a pomonoid \(S\) is closed in \(S\) as a pomonoid if it is such as a monoid.
reviewed by: Niovi Kehayopulu
Mathematics Subject Classification ID: 06F05
zbMATH DE Number: 6493125
zbMATH Keywords: partially ordered monoids
zbMATH Keywords: pomonoids
zbMATH Keywords: epimorphisms
zbMATH Keywords: dominions
zbMATH Keywords: zigzag
zbMATH Keywords: amalgamations
MaRDI profile type: Publication
full work available at URL: s00233-014-9640-x
OpenAlex ID: W2011769533
cites work: Examples concerning absolute flatness and amalgamation in pomonoids.
cites work: Q4846425
cites work: Q3342632
cites work: On Mono- and Epimorphisms in Varieties of Ordered Algebras
cites work: Absolute flatness and amalgamation in pomonoids
cites work: Zigzag Theorem for Partially Ordered Monoids
DOI: 10.1007/S00233-014-9640-X
description: scientific article; zbMATH DE number 6493125