Results 31 to 40 of about 6,262,439 (184)

Extension Functors of Generalized Local Cohomology Modules

پژوهش‌های ریاضی, 2021
Introduction Throughout this paper,  is a commutative Noetherian ring with non-zero identity,  is an ideal of ,  is a finitely generated -module, ‎and  is an arbitrary -module which is not necessarily finitely generated.
Alireza Vahidi, Faisal Hassani, Elham Hoseinzade   +2 more
doaj  

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
doaj   +1 more source

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
doaj   +1 more source

On the minimaxness and coatomicness of local cohomology modules [PDF]

, 2022
summary:Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$ an $R$-module. We wish to investigate the relation between vanishing, finiteness, Artinianness, minimaxness and $\mathcal {C}$-minimaxness of local cohomology modules.
Roshan-Shekalgourabi, Hajar, Hatamkhani, Marzieh   +1 more
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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.
openaire   +2 more sources

On Buchsbaum type modules and the annihilator of certain local cohomology modules [PDF]

, 2017
summary:We consider the annihilator of certain local cohomology modules.
Khojali, Ahmad
core   +1 more source

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
doaj   +1 more source

On the Weil-étale Cohomology of S-Integers [PDF]

, 2012
We generalize the Lichtenbaum's prototype of Weil-étale cohomology to S-integers and study its relation to the Tate sequences. In the final part, we present a more natural way to define Weil-étale cohomology for one-dimensional arithmetic schemes ...
Chiu, Yi-Chih
core   +1 more source