Geodesic
Cohen–Macaulayness of multiplication rings and modules
R. Naghipour1 ; H. Zakeri2 ; N. Zamani3
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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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
Mots-clés : 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. https://geodesic-test.mathdoc.fr/articles/10.4064/cm95-1-11/

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