Cohen-Macaulayness of multiplication rings and modules

@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 -