RESULTS ON BETTI SERIES OF THE UNIVERSAL MODULES OF SECOND ORDER DERIVATIONS
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, sa.3, ss.449-452, 2011 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 3
- Basım Tarihi: 2011
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.449-452
- Hacettepe Üniversitesi Adresli: Evet
Özet
Let R be the coordinate ring of an affine irreducible curve presented by k[x, y]/(f) and m a maximal ideal of R. Assume that R(m)., the localization of R at m, is not a regular ring. Let Omega(2)(R(m)) be the universal module of second order derivations of R(m). We show that, under certain conditions, B(Omega(2)(R(m)),t), the Betti series of Omega(2)(R(m)), is a rational function. To conclude, we give examples related to B(Omega(2)(R(m)),t) for various rings R.