On the Baer Criterion for Acts Over Semigroups |
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| Authors: | M M Ebrahimi Gh Moghaddasi Angizan |
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| Institution: | 1. Department of Mathematics , Shahid Beheshti University , Tehran, Iran;2. Department of Mathematics , Sabzevar Teachers Training University , Sabzevar, Iran |
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| Abstract: | It is known that although the Baer Criterion for injectivity holds for modules over rings with unit, it is not true for acts over an arbitrary monoid. Seeking a characterization for the Baer Criterion to hold for acts over a monoid, in this article, using the notion of completeness introduced by Giuli, we find some classes of monoids such that for acts over them the Baer Criterion holds. |
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| Keywords: | Baer criterion Complete Injective S-act |
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