RESULTS ON BETTI SERIES OF THE UNIVERSAL MODULES OF SECOND ORDER DERIVATIONS

Erdogan A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, sa.3, ss.449-452, 2011 (SCI-Expanded) identifier identifier

  • 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.