Results 21 to 30 of about 121 (115)

On the properties of weak CM rings

上海师范大学学报. 自然科学版, 2022
In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
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On the Matlis duals of local cohomology modules

Proceedings of the American Mathematical Society, 2018
Let ( R , m )
Lyubeznik, Gennady, Yildirim, Tugba
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ON THE COFINITENESS OF LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Suppose that $\ab$ is an ideal of a given commutative Noetherian ring $R$ such that the $R$-modules $H^1_{\ab}(M)$ and $H^3_{\ab}(M)$ are $\ab$-cofinite, for every finitely generated $R$-modules $M$. In this paper, it is shown that the $R$-modules $H^i_{\
Gholamreza Pirmohammadi
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Torsion Functors of Local Cohomology Modules [PDF]

Algebras and Representation Theory, 2009
Through a study of torsion functors of local cohomology modules we improve some non-finiteness results on the top non-zero local cohomology modules with respect to an ideal.
Dibaei, Mohammad T., Vahidi, Alireza
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Local Cohomology Modules and Relative Cohen-Macaulayness

Discussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
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Fibers of rational maps and Rees algebras of their base ideals

Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020
We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local
Tran Quang Hoa, Ho Vu Ngoc Phuong
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Local Cohomology of Modules of Covariants

Advances in Mathematics, 1999
Let \(G\) be a connected reductive algebraic group and \(U\) an irreducible finite dimensional representation of \(G\) and \(S\) the simple roots of \(G\). Then \(G\) acts on the polynomial ring \(R=SU\) associated to \(U\), and \(R^G\) is Cohen-Macaulay by the Hochster-Robert theorem. A conjecture of Stanley [proved partially by the author: \textit{M.
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On Artinianness, annihilators and coassociated primes of formal local cohomology modules [PDF]

Journal of Mahani Mathematical Research
In 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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On the annihilators of generalized local cohomology modules [PDF]

Journal of Mahani Mathematical Research
Let ${\frak{a}}$ be an ideal of Noetherian  ring $R$ and $M$, $N$ be two finitely generated  $R$-modules. In this paper, we obtain some results about  the annihilators of  top generalized local cohomology modules.
Shahram Rezaei
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Extension functors of generalized local cohomology modules and Serre subcategories

پژوهش‌های ریاضی, 2022
In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
Kamal Bahmanpour
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