Journal ArticleDOI
Flat and strongly flat s-systems
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This article is published in Communications in Algebra.The article was published on 1992-01-01. It has received 31 citations till now.read more
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Pullbacks and flatness properties of acts. ii
TL;DR: A right S-act A is pullback flat if the functor A ⊗-(from the category of left S-acts to the class of sets) preserves pullbacks.
Journal ArticleDOI
Strongly flat and po-flat s-posets
TL;DR: In this paper, the Stenstrom-Govorov-Lazard theorem was shown in the context of S-posets and the flatness properties of the S-act over a partially ordered monoid were studied.
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Monoids for which condition (P) acts are projective
TL;DR: In this paper, a characterisation of monoids for which all cyclic right S-acts satisfying condition (P) are projective is given, similar in nature to recent work by Kilp [6].
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On covers of cyclic acts over monoids
Mojgan Mahmoudi,James Renshaw +1 more
TL;DR: In this paper, a necessary and sufficient condition for the existence of strongly flat and condition (P) covers of cyclic acts over monoids has been given and a monoid having a strongly flat cover of a cyclic act is shown to have a projective cover.
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On monoids over which all strongly flat cyclic right acts are projective
TL;DR: In this paper, a new characterization of monoids over which all strongly flat cyclic right acts are projective (projective generators, free) is given, and a new class of monoid classes over which strongly flat right acts can be projective.
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Characterization of monoids by torsion-free, flat, projective, and free acts
Ulrich Knauer,Mario Petrich +1 more
TL;DR: In this paper, the necessary and sufficient conditions on a monoidS in order that all flat rightS-acts are free are given. But they do not cover all possible variants of these conditions, except for the case that all torsion free acts are flat.
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Pullback-flat acts are strongly flat
TL;DR: The main result of as mentioned in this paper is that for a right S-system A to be strongly flat it is in fact sufficient that A ⊗ preserves only pullbacks and equalizers.