Cofiniteness of torsion functors of ideal transforms

Let I be an ideal of a commutative Noetherian ring R such that the R-modules are I-cofinite, for all finitely generated R-modules M and all Let M and N be two I-cofinite R-modules and be an R-homomorphism. It is shown that for each finitely generated R-module U the R-module is I-cofinite, where is t...

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Bibliographic Details
Published in:Communications in algebra 2022-01, Vol.50 (1), p.238-246
Main Author: Pirmohammadi, Gholamreza
Format: Article
Language:English
Subjects:
Cofinite module
cohomological dimension
Homomorphisms
ideal transform
local cohomology
Modules
Noetherian ring
Primary: 13D45
Secondary: 14B15
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Summary:Let I be an ideal of a commutative Noetherian ring R such that the R-modules are I-cofinite, for all finitely generated R-modules M and all Let M and N be two I-cofinite R-modules and be an R-homomorphism. It is shown that for each finitely generated R-module U the R-module is I-cofinite, where is the I-transform functor. Also, it is shown that for each I-cofinite R-module X and each finitely generated R-module U the R-module is I-cofinite, for all
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2021.1955908