Local homology, finiteness of Tor modules and cofiniteness
نویسندگان
چکیده
منابع مشابه
On the Finiteness of Local Homology Modules
Let (R,m) be a commutative Noetherian complete local ring, a an ideal of R, and A an Artinian R-module with N-dim A = d. We prove that if d > 0, then Cosupp(H d−1(A)) is finite and if d ≤ 3, then the set Coass(H i (A)) is finite for all i. Moreover, if either d ≤ 2 or the cohomological dimension cd(a) = 1 then H i (A) is a-coartinian for all i; that is, Torj (R/a,H a i (A)) is Artinian for all ...
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The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2017
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498817502401