논문KCI 등재
Some finiteness results for co-associated primes of generalized local homology modules and applications
대한수학회 (The Korean Mathematical Society)|2020.09|대한수학회지 (Journal of the KMS)|제57권 제5호|pp. 1061-1078|DOI 10.4134/JKMS.j180792
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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.
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.
참고문헌 (30)
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관련 논문AI추천
Finiteness properties generalized local cohomology with respect to an ideal containing the irrelevant idealFatemeh Dehghani-Zadeh대한수학회 · 대한수학회지2012 · 제49권 제6호Results of certain local cohomology modulesAmir Mafi, Atiyeh Pour Eshmanan Talemi대한수학회 · 대한수학회보2014 · 제51권 제3호Some properties of generalized local homology and cohomology modulesNguyen Duc Minh, Tran Tuan Nam대한수학회 · 대한수학회보2013 · 제50권 제6호Colocalization of generalized local homology modulesMarziyeh Hatamkhani대한수학회 · 대한수학회보2022 · 제59권 제4호Minimaxness and cofiniteness properties of generalized local cohomology with respect to a pair of idealsFatemeh Dehghani-Zadeh대한수학회 · 대한수학회논문집2016 · 제31권 제4호Injective dimensions of local cohomology modulesAlireza Vahidi대한수학회 · 대한수학회보2017 · 제54권 제4호
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