Cohen--Macaulayness of tensor products
| dc.creator | Khatami, Leila | |
| dc.creator | Yassemi, Siamak | |
| dc.date | 2002-09-24 | |
| dc.date.accessioned | 2026-07-07T04:51:11Z | |
| dc.date.available | 2026-07-07T04:51:11Z | |
| dc.description | Let $(R,\fm)$ be a commutative Noetherian local ring. Suppose that $M$ and $N$ are finitely generated modules over $R$ such that $M$ has finite projective dimension and such that $\Tor^R_i(M,N)=0$ for all $i>0$. The main result of this note gives a condition on $M$ which is necessary and sufficient for the tensor product of $M$ and $N$ to be a Cohen--Macaulay module over $R$, provided $N$ is itself a Cohen--Macaulay module. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209318 | |
| dc.identifier | http://arxiv.org/abs/math/0209318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65055 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C14; 13D45; 13H10 | |
| dc.title | Cohen--Macaulayness of tensor products | |
| dc.type | text |