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


ERDOĞAN A. , TEKİN AKÇİN H. M.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.1, ss.25-28, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Konu: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1203-22
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.25-28

Özet

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.