Results 1 to 10 of about 102 (89)
On the Properties of Formal Local Cohomology Modules [PDF]
Journal of Mahani Mathematical Research, 2023 Let $(R,m)$ be a commutative Noetherian local ring, $a$ an ideal of $R$. Let $t\in\Bbb N_0$ be an integer and $M$ a finitely generated $R$-module such that the $R$-module $\mathfrak{F}^i_{\mathfrak{a}}(M)$ is $\mathfrak{a}$-cominimax for all ...
Behruz Sadeqi
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GENERALIZED FORMAL LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2023 Let $a$ be an ideal of a local ring $(R, m)$ and $M$ and $N$ two finitely generated $R$-modules. In this paper, we introduce the concept of generalized formal local cohomology modules. We define $i$-th generalized formal local cohomology module of $M$
Shahram Rezaei, Fatemeh Lashkari
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ON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2023 Let a be an ideal of local ring (R;m) and M a nitely generated R-module. Inthis paper, we prove some results concerning niteness and minimaxness of formal local cohomologymodules.
Shahram Rezaei +1 more
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TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES [PDF]
Journal of Algebraic Systems, 2021 Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then ...
A. R. Nazari, F. Rastgoo
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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 Formal Local Cohomology Modules With Respect to a Pair of Ideals [PDF]
Journal of Commutative Algebra, 2016 Let \(R\) be a Noetherian commutative ring with identity. Let \(\mathfrak a\), \(I\) and \(J\) be ideals of \(R\) and \(M\) an \(R\)-module. The notion of formal local cohomology was introduced by \textit{P. Schenzel} [J. Algebra 315, No. 2, 894--923 (2007; Zbl 1131.13018)].
Freitas, T.H., Pérez, V.H. Jorge
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On Artinianness, annihilators and coassociated primes of formal local cohomology modules [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we obtain some results concerning vanishing, finiteness and artinianness of formal local cohomology modules. Also, we determine annihilators, cosupport and the set of coassociated primes of these modules in some special cases.
Shahram Rezaei, Rezvan Darbandi
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Cohen-Macaulayness of Formal Fibers and Dimension of Local Cohomology Modules
Communications in AlgebraLet $(R, \mathfrak{m} )$ be a Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$. Set $\mathfrak{a}(M):=\mathfrak{a}_0(M)\cdots \mathfrak{a}_{d-1}(M)$, where $\mathfrak{a}_i(M):={\rm Ann}_RH^i_{\mathfrak{m}}(M)$ for $i\geq 0$.
Tran Do Minh Chau
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Some results on top local cohomology and top formal local cohomology modules [PDF]
Communications in Algebra, 2016 Let (R,𝔪) be a complete noetherian local ring and M a finitely generated R-module of dimension n and 𝔞 an ideal of R.At first, we find a relation between top local cohomology and top formal local c...
Asgharzadeh, Mohsen +1 more
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Artinianness of formal local cohomology modules [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 Summary: Let \(\mathfrak{a}\) be an ideal of Noetherian local ring \((R,\mathfrak{m})\) and \(M\) a finitely generated \(R\)-module of dimension \(d\). In this paper we investigate the Artinianness of formal local cohomology modules under certain conditions on the local cohomology modules with respect to \(\mathfrak{m}\).
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