Our aim in this paper is to study the concept of stability for acts over monoids and in the process develop connections with flatness properties of acts and with some of the current techniques and construction used in the homological classification of monoids. We also present new proofs of some results relating to torsion free acts over monoids and to the embeddability of semigroup amalgams.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-10,
author = {James Renshaw},
title = {Stability and flatness in acts over monoids},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {267-293},
zbl = {1027.20049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-10}
}
James Renshaw. Stability and flatness in acts over monoids. Colloquium Mathematicae, Tome 91 (2002) pp. 267-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-10/