• On Artinian Generalized Local Cohomology Modules

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/119/04/0453-0458

• # Keywords

Generalized local cohomology modules; Artinian modules; minimax modules.

• # Abstract

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 $n\geq 0$.

• # Author Affiliations

1. Department of Mathematics, Gebze Institute of Technology, Çayirova Campus, 41400 Gebze-Kocaeli, Turkey

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019