Results 11 to 20 of about 95 (86)
A generalization of the finiteness problem of the local cohomology modules [PDF]
Czechoslovak Mathematical Journal, 2014 This paper is in the series of works which study the finiteness of the associated prime of local cohomology modules \(H^i_{\mathfrak {a}}(M)\), where \(\mathfrak {a}\) is an ideal of a commutative Noetherian ring \(R\) and \(M\) is an \(R\)-module. In general Ass\((H^i_{\mathfrak {a}}(M))\) is not finite for any \(i\), \(\mathfrak {a}\) and \(M\), e.g.
Abbasi, Ahmad +1 more
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On the Associated Primes of Generalized Local Cohomology Modules [PDF]
Communications in Algebra, 2006 7 pages, to appear in Communications in ...
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On Shifted Principles of Generalized Local Cohomology Modules
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Freitas, Thiago Henrique +1 more
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General formal local cohomology modules [PDF]
Algebra and Discrete Mathematics, 2020 Let (R,m) be a local ring, Φ a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules. We denote the ith general formal local cohomology module M with respect to Φ by FiΦ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology ...
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On the cominimaxness of generalized local cohomology modules
Science and Technology Development Journal, 2020 The local cohomology theory plays an important role in commutative algebra and algebraic geometry. The I-cofiniteness of local cohomology modules is one of interesting properties which has been studied by many mathematicians. The I-cominimax modules is an extension of I-cofinite modules which was introduced by Hartshorne.
Tri Minh Nguyen, Cam Thi Hong Bui
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Cofiniteness of generalized local cohomology modules [PDF]
Colloquium Mathematicum, 2004 Let $\fa$ denote an ideal of a commutative Noetherian ring $R$ and $M$ and $N$ two finitely generated $R$-modules with $\pd M< \infty$. It is shown that if $\fa$ is principal or $R$ is complete local and $\fa$ a prime ideal with $\dim R/\fa=1$, then the generalized local cohomology module $H^i_{\fa}(M,N)$ is $\fa$-cofinite for all $i \geq 0$.
Divaani-Aazar, Kamran, Sazeedeh, Reza
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Matlis reflexive and generalized local cohomology modules [PDF]
Czechoslovak Mathematical Journal, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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COFINITENESS AND FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractLet I be an ideal of a commutative Noetherian local ring R, and M and N two finitely generated modules. Let t be a positive integer. We mainly prove that (i) if HIi(M,N) is Artinian for all i<t, then HIi(M,N) is I-cofinite for all i<t and Hom(R/I,HIt(M,N)) is finitely generated; (ii) if d=pd(M)<∞ and dim N=n<∞, then HId+n(M,N) is I ...
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FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Mathematical Reports, 2023 Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X ...
Vahidi, Alireza +2 more
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On cominimaxness of generalized local cohomology modules
Tạp chí Khoa học, 2019 This research introduces and focuses on (I, M)-cominimax modules. The paper shows that if t is an nonnegative integer, M is a finitely generated projective R-module and N is an R-module such that is minimax and is (I, M)-cominimax for all then is minimax and is finite.
Nguyen Thanh Nam +2 more
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