A characterization of Cohen-Macaulay modules and local cohomology
Let R be a commutative Noetherian ring, and let N be a non-zero finitely generated locally quasi-unmixed R-module. In this paper, the main result asserts that N is Cohen-Macaulay if and only if, for any N-proper ideal I of R generated by height N I elements, the set of asymptotic primes of I with respect to N is equal to the set of presistent primes of I with respect to N. In addition, some applications about local cohomology are included.
Mathematics Subject Classification (2000).Primary 13A30 13E05 Secondary 13A02
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