On Betti series of the universal modules of second order derivations of k[x(1),x(2), ... ,xs]/(f)
TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.1, ss.25-28, 2014 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 1
- Basım Tarihi: 2014
- Doi Numarası: 10.3906/mat-1203-22
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.25-28
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Evet
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.