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http://dx.doi.org/10.4134/JKMS.j180792

SOME FINITENESS RESULTS FOR CO-ASSOCIATED PRIMES OF GENERALIZED LOCAL HOMOLOGY MODULES AND APPLICATIONS  

Do, Yen Ngoc (Faculty of Mathematics & Computer Science University of Science VNU-HCM)
Nguyen, Tri Minh (Algebra and Geometry Research Group Ton Duc Thang University)
Tran, Nam Tuan (Department of Mathematics-Informatics Ho Chi Minh University of Pedagogy)
Publication Information
Journal of the Korean Mathematical Society / v.57, no.5, 2020 , pp. 1061-1078 More about this Journal
Abstract
We prove some results about the finiteness of co-associated primes of generalized local homology modules inspired by a conjecture of Grothendieck and a question of Huneke. We also show some equivalent properties of minimax local homology modules. By duality, we get some properties of Herzog's generalized local cohomology modules.
Keywords
Linearly compact module; (generalized) local homology; (generalized) local cohomology; (co-)associated prime;
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