Shahrood University of Technology Journal of Algebraic Systems 2345-5128 14 2 2026 04 01 ON THE COFINITENESS OF LOCAL COHOMOLOGY MODULES 263 269 3735 10.22044/jas.2024.14393.1825 EN Gholamreza Pirmohammadi Payame Noor University 19395-3697 Tehran, Iran. Journal Article 2024 04 04 Suppose that $\ab$ is an ideal of a given commutative Noetherian ring $R$ such that the $R$-modules $H^1_{\ab}(M)$ and $H^3_{\ab}(M)$ are $\ab$-cofinite, for every finitely generated $R$-modules $M$. In this paper, it is shown that the $R$-modules $H^i_{\ab}(M)$ are $\ab$-cofinite, for all finitely generated $R$-modules $M$ and all integers $i\in\Bbb{N}_0$. https://jas.shahroodut.ac.ir/article_3735_ccd634e8ae9473969244b323ddd34fd4.pdf