When principally weakly flat acts satisfy condition (PWP).
type: Item
instance of: scholarly article
title: When principally weakly flat acts satisfy condition (PWP).
zbMATH Open document ID: 1054.20051
published in: Semigroup Forum
publication date: 2004-07-07T00:00:00Z
review text: The paper discusses some classes of right \(S\)-acts between the class of pullback flat \(S\)-acts and the class of torsion free \(S\)-acts. The properties considered are: torsion freeness, principal weak flatness, condition (PWP), translation kernel flatness. It is proved, for example, that if \(S\) is a left PP monoid with central idempotents, then all principally weakly flat right Rees factor acts satisfy condition (PWP) if and only if \(S\) is an annihilating chain of right cancellative monoids.
reviewed by: Peeter Normak
Mathematics Subject Classification ID: 20M50
zbMATH DE Number: 2078234
zbMATH Keywords: right \(S\)-acts
zbMATH Keywords: pullback acts
zbMATH Keywords: flat acts
zbMATH Keywords: homological classification
zbMATH Keywords: central idempotents
author: Mati Kilp
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2078234