On Covers of Acts over Semigroups

Document Type : Regular Paper

Authors

Department of Mathematics, College of Sciences, Shiraz University, P. O. Box 71454, Shiraz, Iran

Abstract

Let S be a monoid and X a class of S-acts which is closed under coproducts. The object of this article is to find conditions under which all S-acts have X-precovering. We have shown that the existence of torsion-free precovering implies the existence of torsion-free covering. This work is an attempt to further facilitate the study of the conjecture that all S-acts have flat cover.

Keywords

Iranian Journal of Science
Volume 38, Issue 2 - Serial Number 2
May and June 2014
Pages 117-121

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