On cohomologically complete intersection modules

Abstract

In this paper, several necessary and su‰cient conditions are presented for a module M to be cohomologically complete intersection module with respect to I , i.e. H i I ðMÞ 1⁄4 0 for all i0 c 1⁄4 gradeðI ;MÞ. This notion is a generalization of cohomologically complete intersection ideals.