“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 11326 | ||||||||||||||||||
|
||||||||||||||||||
| Abstract: | ||||||||||||||||||
|
Let R be a commutative Noetherian local ring. We show that R is Gorenstein if and only if every finitely generated R-module can be embedded in a finitely generated R-module of finite projective dimension. This extends a result of Auslander and Bridger to rings of higher Krull dimension, and also improves a result due to Foxby where the ring is assumed to be Cohen-Macaulay.
Download TeX format |
||||||||||||||||||
| back to top | ||||||||||||||||||
