Local-global principle for the finiteness and artinianness of generalised local cohomology modules

Authors

  • Ali Fathi Science and Research Branch, Islamic Azad University, Tehran, Iran.

Keywords:

(generalised) local cohomology module, finiteness, Artinianness, Local-global Principle, filter regular sequence

Abstract

Let $\mathcal S$ be a Serre subcategory of the category of $R$-modules, where $R$ is a commutative Noetherian ring. Let $\mathfrak a$ and $\mathfrak b$ be ideals of $R$ and let $M$ and $N$ be finite $R$-modules. We prove that if $N$ and $H^i_{\mathfrak a}(M,N)$ belong to $\mathcal S$ for all $i10.1017/S0004972712000640

Author Biography

Ali Fathi, Science and Research Branch, Islamic Azad University, Tehran, Iran.

Department of mathematics

Published

2013-04-29

Issue

Vol. 87 No. 3 (2013)

Section

Articles
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