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On the Finiteness Results of Generalized Local Cohomology Modules with Respect to a Pair of Ideals

Tran Tuan Nam, Nguyen Minh Tri

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Source: Crossref

Published: Feb 1, 2018

DOI: 10.11650/tjm/8112

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Source abstract

We study the finiteness of associated primes and support of the generalized local cohomology modules HI,Ji(M,N)H^i_{I,J}(M,N) concerning Grothendieck's conjecture and Huneke's question. The paper also discusses the relationship between the vanishing and the finiteness of the generalized local cohomology modules.

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On the Finiteness Results of Generalized Local Cohomology Modules with Respect to a Pair of Ideals — Mathematical Frontier Network