SOCLE FINITENESS OF THE LOCAL COHOMOLOGY
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.41, sa.1, ss.299-309, 2011 (SCI-Expanded, Scopus)
- 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.