Direct summands of syzygy modules of the residue class field
| dc.creator | Takahashi, Ryo | |
| dc.date | 2007-03-07 | |
| dc.date.accessioned | 2026-07-07T07:50:39Z | |
| dc.date.available | 2026-07-07T07:50:39Z | |
| dc.description | Let R be a commutative Noetherian local ring. This paper deals with the problem asking whether R is Gorenstein if the n-th syzygy of the residue field of R has a nontrivial direct summand of finite G-dimension for some n. It is proved that if n is at most two then it is true, and moreover, the structure of the ring R is determined essentially uniquely. | |
| dc.description | 18 pages, to appear in Nagoya Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/math/0703186 | |
| dc.identifier | http://arxiv.org/abs/math/0703186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125232 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D02 (Primary) 13D05, 13H10 (Secondary) | |
| dc.title | Direct summands of syzygy modules of the residue class field | |
| dc.type | text |