Absolute flatness and amalgams in pomonoids
type: Item
instance of: scholarly article
title: Absolute flatness and amalgams in pomonoids
zbMATH Open document ID: 0581.06008
DOI: 10.1007/BF02573178
author: Syed M. Fakhruddin
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134789
review text: We define a tensor product for partially ordered sets acted on by a partially ordered monoid and study the related property of absolute flatness. As a by-product we show that a partially ordered commutative group is a strong amalgamation base in the category of partially ordered commutative monoids. This result originally due to Schreier in the case of groups has been generalized to include the case of monoids by Hall and Howie.
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 06F20
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 3929074
zbMATH Keywords: tensor product for partially ordered sets
zbMATH Keywords: absolute flatness
zbMATH Keywords: partially ordered commutative group
zbMATH Keywords: strong amalgamation base
zbMATH Keywords: partially ordered commutative monoids
MaRDI profile type: Publication
cites work: Absolutely flat semigroups
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cites work: REPRESENTATION EXTENSION AND AMALGAMATION FOR SEMIGROUPS
cites work: Commutative semigroup amalgams
cites work: On homological classification of monoids
cites work: Q5571726
description: scientific article; zbMATH DE number 3929074