Monoids over which all flat cyclic right acts are strongly flat
type: Item
instance of: scholarly article
title: Monoids over which all flat cyclic right acts are strongly flat
zbMATH Open document ID: 0824.20054
DOI: 10.1007/BF02573519
author: Sydney Bulman-Fleming
author: Peeter Normak
published in: Semigroup Forum
publication date: 1995-10-30T00:00:00Z
full work available at URL: https://eudml.org/doc/135381
review text: Let \(S\) be a monoid and consider right \(S\)-acts. The authors characterize monoids \(S\) over which all (torsion free, weakly flat, flat, \((P)\)) cyclic right \(S\)-acts are strongly flat or projective. Looking from the other side, the paper contains a characterization of right nil monoids (that is, for every \(x \in S\), \(x \neq 1\), there exists \(n \in \mathbb{N}\) such that \(x^ n\) is a right zero element of \(S\)). All results of this paper, together with corresponding results of former papers of various authors and open questions, are collected in a very convenient table at the end of the paper.
Mathematics Subject Classification ID: 20M50
zbMATH DE Number: 736956
zbMATH Keywords: right \(S\)-acts
zbMATH Keywords: monoids
zbMATH Keywords: strongly flat acts
zbMATH Keywords: projective acts
zbMATH Keywords: right nil monoids
reviewed by: Ulrich Knauer
MaRDI profile type: Publication
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OpenAlex ID: W2071846566
description: scientific article; zbMATH DE number 736956