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Quasi-projective covers of right $S$-acts
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نویسنده
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- - ,- -
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منبع
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categories and general algebraic structures with applications - 2014 - دوره : 2 - شماره : 1 - صفحه:37 -45
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چکیده
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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.
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کلیدواژه
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Projective ,quasi-projective ,perfect ,semiperfect ,cover
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آدرس
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Department of Mathematics, College ofScience,, Department of Mathematics, College ofScience, Shiraz University, Shiraz 71454, Iran , ایران, Department of Mathematics, College of Science,, Department of Mathematics, College of Science, Shiraz University, Shiraz 71454, Iran , ایران
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پست الکترونیکی
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ershad@shirazu.ac.ir
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Authors
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