Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2016; 31(4): 695-701

Online first article September 1, 2016      Printed October 31, 2016

https://doi.org/10.4134/CKMS.c150240

Copyright © The Korean Mathematical Society.

Minimaxness and cofiniteness properties of generalized local cohomology with respect to a pair of ideals

Fatemeh Dehghani-Zadeh

Islamic Azad University

Abstract

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Let $I$ and $J$ be two ideals of a commutative Noetherian ring $R$ and $M$, $N$ be two non-zero finitely generated $R$-modules. Let $t$ be a non-negative integer such that $H^{i}_{I, J}(N)$ is $(I, J)$-minimax for all $i

Keywords: local cohomology, minimax module, cofinite module

MSC numbers: 13D45, 13E10, 13E99

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