A criterion for regular sequences
| dc.creator | Patil, D P | |
| dc.creator | Storch, U | |
| dc.creator | Stuckrad, J | |
| dc.date | 2004-06-28 | |
| dc.date.accessioned | 2026-07-07T05:09:45Z | |
| dc.date.available | 2026-07-07T05:09:45Z | |
| dc.description | Let $R$ be a commutative noetherian ring and $f_{1}, ..., f_{r} \in R$. In this article we give (cf. the Theorem in \S2) a criterion for $f_{1}, ..., f_{r}$ to be regular sequence for a finitely generated module over $R$ which strengthens and generalises a result in \cite{2}. As an immediate consequence we deduce that if ${\rm V}(g_{1}, ..., g_{r}) \subseteq {\rm V} (f_{1}, >..., f_{r})$ in Spec $R$ and if $f_{1}, ..., f_{r}$ is a regular sequence in $R$, then $g_{1}, ..., g_{r}$ is also a regular sequence in $R$. | |
| dc.description | 4 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0406566 | |
| dc.identifier | http://arxiv.org/abs/math/0406566 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 2, May 2004, pp. 103-106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71701 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A criterion for regular sequences | |
| dc.type | text |