• On Artinian Generalized Local Cohomology Modules

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      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

       

      Muhammet Tamer Koşan1

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

       
  • Proceedings – Mathematical Sciences | News

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