A short note on the non-negativity of partial Euler characteristics
| dc.creator | Puthenpurakal, Tony J. | |
| dc.date | 2004-09-04 | |
| dc.date.accessioned | 2026-07-07T05:11:48Z | |
| dc.date.available | 2026-07-07T05:11:48Z | |
| dc.description | Let $(A,\mathfrak{m})$ be a Noetherian local ring, $M$ a finite $A$-module and $x_1,...,x_n\in \m$ such that $λ(M/\x M)$ is finite. Serre proved that all partial Euler characteristics of $M$ with respect to $\x$ is non-negative. This fact is easy to show when $A$ contains a field. We give an elementary proof of Serre's result when $A$ does not contain a field. | |
| dc.description | 2 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409059 | |
| dc.identifier | http://arxiv.org/abs/math/0409059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72366 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D40 | |
| dc.title | A short note on the non-negativity of partial Euler characteristics | |
| dc.type | text |