tailieunhanh - The artinianess and (I,J)-stable of local homology module with respect to a pair of ideals
In this paper, we will introduce the concept of (I,J)-stable modules, which is an extension of the I -stable modules. We show some basic properties of (I,J)-stable modules and use it to study the artinianess of local homology modules with respect to a pair of ideals. Moreover, we also give the relationship between the artinianess, (I,J)-stable and the varnishing of local homology module with respect to a pair of ideals. |
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