| Full text | |
| Author(s): |
Jorge-Perez, Victor H.
;
Miranda-Neto, Cleto B.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COLLECTANEA MATHEMATICA; v. 73, n. 2, p. 17-pg., 2021-02-03. |
| Abstract | |
Let R be a Noetherian local k-algebra whose derivation module Der(k) (R) is finitely generated. Our main goal in this paper is to investigate the impact of assuming that Der(k) (R) has finite projective dimension (or finite Gorenstein dimension), mainly in connection with freeness, under a suitable hypothesis concerning the vanishing of (co)homology or the depth of a certain tensor product. We then apply some of our results towards the critical case depth R = 3 of the Herzog-Vasconcelos conjecture and consequently to the strong version of the Zariski-Lipman conjecture. (AU) | |
| FAPESP's process: | 19/21843-2 - Local cohomology, homological problems and blowup algebras |
| Grantee: | Victor Hugo Jorge Pérez |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |