Abstract
Let R be a commutative Noetherian ring and I be an ideal of R. Let M be an arbitrary R-module. In this paper we establish some results concerning the cofiniteness properties of modules. It is shown that, M is I-cominimax if and only if there is an ideal with such that M is -cofinite and the R-module is finitely generated, for each Moreover, it is shown that M is I-weakly cofinite if and only if there is an ideal such that V(J) is a finite set and M is -cofinite.
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