SOCLE FINITENESS OF THE LOCAL COHOMOLOGY

Trlifaj J., Kosan M. T.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.41, sa.1, ss.299-309, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1216/rmj-2011-41-1-299
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.299-309
  • Gazi Üniversitesi Adresli: Hayır

Özet

Let R be a Gorenstein local ring and I an ideal of R. Denote by H(I, R) the assertion: "The socle of the local cohomology module H-I(n)(R) is finitely generated for each n >= 0." We translate H(I, R) into a property of the minimal injective coresolution of R, and then use this translation to prove H(I, R) for all regular local rings R and all ideals I with level prime avoidance.