On a question of Hartshorne
K Bahmanpour - Collectanea Mathematica, 2021 - Springer
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules H^ i_I
(M) HI i (M) are I-cofinite, for all finitely generated R-modules M and all i ∈ N _0 i∈ N 0, if …
(M) HI i (M) are I-cofinite, for all finitely generated R-modules M and all i ∈ N _0 i∈ N 0, if …
Local cohomology, cofiniteness and homological functors of modules
K Bahmanpour - Czechoslovak Mathematical Journal, 2022 - Springer
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules HI j (M)
are I-cofinite for all finitely generated R-modules M and all j∈ ℕ0 if and only if the R …
are I-cofinite for all finitely generated R-modules M and all j∈ ℕ0 if and only if the R …
Cofiniteness of torsion functors of a pair of cofinite modules (II)
K Bahmanpour - Communications in Algebra, 2023 - Taylor & Francis
Let I be an ideal of a commutative Noetherian ring R such that the R-modules HI i (U) are I-
cofinite, for all finitely generated R-modules U and all i∈ ℕ 0. Also, assume that the category …
cofinite, for all finitely generated R-modules U and all i∈ ℕ 0. Also, assume that the category …
A note on Abelian categories of cofinite modules
K Bahmanpour - Communications in Algebra, 2020 - Taylor & Francis
Let R be a commutative Noetherian ring and I be an ideal of R. In this article, we answer
affirmatively a question raised by the present author. Also, as a consequence, it is shown …
affirmatively a question raised by the present author. Also, as a consequence, it is shown …
On the Abelian categories of cofinite modules
K Bahmanpour - Journal of Algebra and Its Applications, 2024 - World Scientific
Let R be a commutative Noetherian ring and I be an ideal of R such that the R-modules HI i
(M) are I-cofinite, for all finitely generated R-modules M and all i∈ ℕ 0. In this paper, we …
(M) are I-cofinite, for all finitely generated R-modules M and all i∈ ℕ 0. In this paper, we …
Cofiniteness of torsion functors of ideal transforms
G Pirmohammadi - Communications in Algebra, 2022 - Taylor & Francis
Let I be an ideal of a commutative Noetherian ring R such that the R-modules HI i (M) are I-
cofinite, for all finitely generated R-modules M and all i∈ ℕ 0. Let M and N be two I-cofinite R …
cofinite, for all finitely generated R-modules M and all i∈ ℕ 0. Let M and N be two I-cofinite R …
A characterization of cominimax and weakly cofinite modules
M Aghapournahr, K Bahmanpour - Communications in Algebra, 2020 - Taylor & Francis
Let R be a commutative Noetherian ring and I be an ideal of R. Let M be an arbitrary R-
module. In this paper we establish some results concerning the cofiniteness properties of …
module. In this paper we establish some results concerning the cofiniteness properties of …