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Acta Mathematica Vietnamica

On Minimax Modules and Generalized Local Cohomology with Respect to a Pair of Ideals

Nguyen Thanh Nam , icon-email Tran Tuan Nam , Nguyen Minh Tri

Abstract

We study the minimax properties and the artinianness of the generalized local cohomology modules $H^{i}_{I,J}(M,N)$ with respect to a pair of ideals $(I, J)$. We also show some results on top generalized local cohomology modules.