On Betti series of the universal modules of second order derivations of k[x(1),x(2), ... ,xs]/(f)
TURKISH JOURNAL OF MATHEMATICS, vol.38, no.1, pp.25-28, 2014 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 38 Issue: 1
- Publication Date: 2014
- Doi Number: 10.3906/mat-1203-22
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.25-28
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
Let R be a coordinate ring of an affine irreducible curve represented by k[x(1),x(2), ... ,x(s)]/(f) and m be a maximal ideal of R. In this article, the Betti series of Omega(2)(R-m) is studied. We proved that the Betti series of Omega(2)(R-m), where Omega(2)(R-m) denotes the universal module of second order derivations of R-m, is a rational function under some conditions.