On Artinian generalized local cohomology modules
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.119, sa.4, ss.453-458, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 119 Sayı: 4
- Basım Tarihi: 2009
- Doi Numarası: 10.1007/s12044-009-0047-7
- Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.453-458
- Gazi Üniversitesi Adresli: Hayır
Özet
Let R be a commutative Noetherian ring with non-zero identity and a be a maximal ideal of R. An R-module M is called minimax if there is a finitely generated submodule N of M such that M/N is Artinian. Over a Gorenstein local ring R of finite Krull dimension, we proved that the Socle of H (a) (n) (R) is a minimax R-module for each n a parts per thousand yen 0.