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Monoids over which all strongly flat left acts are regular |
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| Authors: | Wang Ning Liu Zhongkui |
| Institution: | Department of Mathematics , Northwest Normal University , Lanzhou, 730070, China |
| Abstract: | Let Sbe a monoid. It is shown that all strongly flat left S-acts are regular if and only if all left S-acts having the property (E) are regular if and only if Sis a left PP monoid and satisfies (FP2).This result answers a question in Kilp and Knauer 5]. |
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