Cohen-Macaulayness of multiplication rings and modules
R. Naghipour, H. Zakeri, N. Zamani (2003)
Colloquium Mathematicae
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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.