The vanishing of Tor_1^R(R^+,k) implies that R is regular
| dc.creator | Aberbach, Ian M. | |
| dc.date | 2003-09-16 | |
| dc.date.accessioned | 2026-07-07T05:01:11Z | |
| dc.date.available | 2026-07-07T05:01:11Z | |
| dc.description | Let (R,m,k) be an excellent local ring of positive prime characteristic. We show that if Tor_1^R(R^+,k) = 0 then R is regular. This improves a result of Schoutens, in which the additional hypothesis that R was an isolated singularity was required for the proof. | |
| dc.description | 3 pages, to appear in Proceedings of the AMS | |
| dc.identifier | https://arxiv.org/abs/math/0309267 | |
| dc.identifier | http://arxiv.org/abs/math/0309267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68582 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 13H05 | |
| dc.title | The vanishing of Tor_1^R(R^+,k) implies that R is regular | |
| dc.type | text |