Title of article
Quasi-projective covers of right $S$-acts
Author/Authors
-، - نويسنده Department of Mathematics, College of Science, Shiraz University, Shiraz 71454, Iran. Roueentan, Mohammad , -، - نويسنده Department of Mathematics, College of Science, Shiraz University, Shiraz 71454, Iran. Ershad, Majid
Issue Information
سالنامه با شماره پیاپی 0 سال 2014
Pages
9
From page
37
To page
45
Abstract
-
Abstract
In this paper $S$ is a monoid with a left zero and $A_S$ (or $A$) is a unitary right $S$-act. It is shown that a monoid $S$ is right perfect (semiperfect) if and only if every (finitely generated) strongly flat right $S$-act is quasi-projective. Also it is shown that if every right $S$-act has a unique zero element, then the existence of a quasi-projective cover for each right act implies that every right act has a projective cover.
Journal title
Categories and General Algebraic Structures with Applications
Serial Year
2014
Journal title
Categories and General Algebraic Structures with Applications
Record number
2315848
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