Cohen-Macaulayness of multiplication rings and modules

• Autorzy: R. Naghipour , H. Zakeri , N. Zamani
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 13C14: Cohen-Macaulay modules
• 13E05: Noetherian rings and modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 1
• Strony: 133-138

Daty

wydano

2003

Twórcy

autor

R. Naghipour

• Department of Mathematics, Tabriz University, Tabriz, Iran

autor

H. Zakeri

• Institute of Mathematics, University for Teacher Education, 599 Taleghani Avenue, Tehran 15614, Iran

autor

N. Zamani

• School of Sciences, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran

Identyfikatory

DOI

10.4064/cm95-1-11