On Artinian generalized local cohomology modules


Kosan M. T.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.119, sa.4, ss.453-458, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 119 Konu: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s12044-009-0047-7
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.453-458

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.