On Betti series of the universal modules of second order derivations of k[x(1),x(2), ... ,xs]/(f)

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ERDOĞAN A., TEKİN AKÇİN H. M.

TURKISH JOURNAL OF MATHEMATICS, vol.38, no.1, pp.25-28, 2014 (SCI-Expanded) identifier identifier

  • 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
  • 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.