• On Artinian Generalized Local Cohomology Modules

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    • 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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