Cofiniteness of generalized loca cohomology modules with respect to a system of ideals

Moharram Aghapournahr; Tran Tuan Nam; Nguyen Thanh Nam; Nguyen Minh Tri

Cofiniteness of generalized loca cohomology modules with respect to a system of ideals

Commutative Algebra 2023-05-18 v1

Authors: Moharram Aghapournahr , Tran Tuan Nam , Nguyen Thanh Nam , Nguyen Minh Tri

Abstract

Let $R$ be a commutative Noetherian ring, $\Phi$ a system of ideals of $R$ and $M,X$ two $R$ -modules. In this paper, we study the Artinianness and cofiniteness of the module $H^i_{\Phi}(M,X)$ which is an extension of the generalized local cohomology modules of Herzog.

Keywords

commutative noetherian ring system of ideals generalized local cohomology artinian module cofinite module herzog

Cite

@article{arxiv.2305.10281,
  title  = {Cofiniteness of generalized loca cohomology modules with respect to a system of ideals},
  author = {Moharram Aghapournahr and Tran Tuan Nam and Nguyen Thanh Nam and Nguyen Minh Tri},
  journal= {arXiv preprint arXiv:2305.10281},
  year   = {2023}
}

Comments

16 pages

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