Cohen-Macaulayness of multiplication rings and modules
R. Naghipour ; H. Zakeri ; N. Zamani
Colloquium Mathematicae, Tome 96 (2003), p. 133-138 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284524 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-11,
     author = {R. Naghipour and H. Zakeri and N. Zamani},
     title = {Cohen-Macaulayness of multiplication rings and modules},
     journal = {Colloquium Mathematicae},
     volume = {96},
     year = {2003},
     pages = {133-138},
     zbl = {1046.13003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-11}
}

R. Naghipour; H. Zakeri; N. Zamani. Cohen-Macaulayness of multiplication rings and modules. Colloquium Mathematicae, Tome 96 (2003) pp. 133-138. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-11/