Geodesic
Cohen–Macaulayness of multiplication rings and modules
R. Naghipour 1   ; H. Zakeri 2   ; N. Zamani 3
1 Department of Mathematics Tabriz University Tabriz, Iran
2 Institute of Mathematics University for Teacher Education 599 Taleghani Avenue Tehran 15614, Iran
3 School of Sciences Tarbiat Modarres University P.O. Box 14155-4838 Tehran, Iran
Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 133-138 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm95-1-11
Keywords: commutative multiplication ring non zero finitely generated multiplication r module characterize certain prime submodules cohen macaulay whenever noetherian

R. Naghipour  1   ; H. Zakeri  2   ; N. Zamani  3

1 Department of Mathematics Tabriz University Tabriz, Iran
2 Institute of Mathematics University for Teacher Education 599 Taleghani Avenue Tehran 15614, Iran
3 School of Sciences Tarbiat Modarres University P.O. Box 14155-4838 Tehran, Iran 
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R. Naghipour; H. Zakeri; N. Zamani. Cohen–Macaulayness of
 multiplication rings and modules. Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 133-138. doi: 10.4064/cm95-1-11

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