On Artinian Generalized Local Cohomology Modules

Proceedings Mathematical Sciences

Muhammet Tamer KoÅŸan¹ 

[1] Department of Mathematics, Gebze Institute of Technology, Çayirova Campus, 00 Gebze-Kocaeli, Turkey$$

关键词: Generalized local cohomology modules;    Artinian modules;    minimax modules.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let 𝑅 be a commutative Noetherian ring with non-zero identity and $mathfrak{a}$ 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 $H^n_a(R)$ is a minimax 𝑅-module for each 𝑛 ≥ 0.

【 授权许可】

Unknown