On flatness of acts |
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Authors: | Akbar Golchin |
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Institution: | (1) Department of Mathematics University of Sistan and Baluchestan Zahedan, Iran |
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Abstract: | We consider monoids $S=G\dot \cup I$ where G is a group and I is an ideal of S and show that if an S-act is principally weakly flat, (weakly) flat, torsion free or satisfies conditions (P) or (PE) as an I1-act, then it has these properties as an S-act. We also show that an S-act which is free, projective or strongly flat as an I1-act may not generally have these properties as an S-act. |
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