“School of Mathematics”
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| Paper IPM / M / 196 |
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| Abstract: | |
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We show that a commutative ring R is von Neumann regular if and only if each cocyclic R-module is simple. If R is Noetherian then it is shown that there exists a cocyclic R-module with finite flat
dimension if and only if there exists m ∈ Max R such that Rm is Gorenstein.
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