On Artinian generalized local cohomology modules |
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| Authors: | Muhammet Tamer Koşan |
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| Affiliation: | (1) Faculty of Mathematical Sciences, Teacher Training University, Tehran, Iran;(2) Institute for Theoretical Physics and Mathematics (IPM), Tehran, Iran;(3) Center of Excellence in Biomathematics, School of Mathematics, University of Tehran, P.O. Box 13145-448, Tehran, Iran |
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| Abstract: | 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 ≥ 0. |
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