|
|||||
|
|
Finite homological dimension and primes associated to integrally closed ideals |
|
| Authors: | Shiro Goto Futoshi Hayasaka |
| Affiliation: | Department of Mathematics, School of Science and Technology, Meiji University, 214-8571 Japan ; Department of Mathematics, School of Science and Technology, Meiji University, 214-8571 Japan |
| Abstract: | Let  be an integrally closed ideal in a commutative Noetherian ring  . Then the local ring  is regular (resp. Gorenstein) for every  if the projective dimension of  is finite (resp. the Gorenstein dimension of  is finite and  satisfies Serre's condition (S )). |
| Keywords: | Projective dimension Gorenstein dimension integrally closed ideal $mathfrak{m}$-full ideal regular local ring Gorenstein local ring |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |