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On the homogeneous pieces of graded generalized local cohomology modules

N. Zamani — 2003

Colloquium Mathematicae

We study, in certain cases, the notions of finiteness and stability of the set of associated primes and vanishing of the homogeneous pieces of graded generalized local cohomology modules.

Cohen-Macaulayness of multiplication rings and modules

R. Naghipour; H. Zakeri; N. Zamani — 2003

Colloquium Mathematicae

Let R be a commutative multiplication ring and let N be a non-zero finitely generated multiplication R-module. We characterize certain prime submodules of N. Also, we show that N is Cohen-Macaulay whenever R is Noetherian.

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