Displaying similar documents to “Constructions of finitely generated submodules of constructively noetherian modules”

Steady ideals and rings

Jan Žemlička, Jan Trlifaj (1997)

Rendiconti del Seminario Matematico della Università di Padova

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Multiplication modules and related results

Shahabaddin Ebrahimi Atani (2004)

Archivum Mathematicum

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Let R be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication R -module (see [8], [12] and [3]).

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.