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Acta Mathematica Vietnamica

ON THE ASSOCIATED PRIMES AND THE SUPPORT OF GENERALIZED LOCAL COHOMOLOGY MODULES

icon-email NGUYEN VAN HOANG

Abstract

In this note, we prove the following results: (1) if dim(N)3 then Ass(HIi(M,N)) is finite for all i0; (2) Let d=dim(R) and s(I,M)=depth(M/InM) for some large n. If N has finite injective dimension then we have HIi(M,N)=0 for all i>ds(I,M), HId(M,N) is Artinian, and Supp(HId1(M,N)) is finite.