Local cohomology, cofiniteness and homological functors of modules
Let I be an ideal of a commutative Noetherian ring R . It is shown that the R -modules H I j ( M ) are I -cofinite for all finitely generated R -modules M and all j ∈ ℕ 0 if and only if the R -modules Ext R i ( N ,H I j ( M )) and Tor i R ( N, H I j ( M )) are I -cofinite for all finitely generated...
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Published in | Czechoslovak mathematical journal Vol. 72; no. 2; pp. 541 - 558 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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