Cohen-Macaulayness of multiplication rings and modules
R. Naghipour; H. Zakeri; N. Zamani
Colloquium Mathematicae (2003)
- Volume: 95, Issue: 1, page 133-138
- ISSN: 0010-1354
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topR. Naghipour, H. Zakeri, and N. Zamani. "Cohen-Macaulayness of multiplication rings and modules." Colloquium Mathematicae 95.1 (2003): 133-138. <http://eudml.org/doc/284524>.
@article{R2003,
abstract = {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.},
author = {R. Naghipour, H. Zakeri, N. Zamani},
journal = {Colloquium Mathematicae},
keywords = {multiplication ring; multiplication module; Cohen-Macaulayness; Noetherian ring; primary decomposition},
language = {eng},
number = {1},
pages = {133-138},
title = {Cohen-Macaulayness of multiplication rings and modules},
url = {http://eudml.org/doc/284524},
volume = {95},
year = {2003},
}
TY - JOUR
AU - R. Naghipour
AU - H. Zakeri
AU - N. Zamani
TI - Cohen-Macaulayness of multiplication rings and modules
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 133
EP - 138
AB - 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.
LA - eng
KW - multiplication ring; multiplication module; Cohen-Macaulayness; Noetherian ring; primary decomposition
UR - http://eudml.org/doc/284524
ER -
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