Homological subsets of Spec

Abstract

We recover some data of a module M from the Ext-family \iR(M,R)\. In this regard, we investigate homological subsets of (R), defined by the help of Ext-family. We extend Grothendieck's calculation of (gR(M,R)). Also, we compute support and the set of all associated prime ideals of the Ext-family in a serial of nontrivial cases.

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