Results 1 to 10 of about 7,769,949 (162)

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 ...
Rezaei Sh., null null, Sh. Rezaei
exaly   +5 more sources

On Artinianness of Formal Local Cohomology, Colocalization and Coassociated Primes

Mathematica Scandinavica, 2013
This paper at first concerns some criteria on Artinianness and vanishing of formal local cohomology modules. Then we consider the cosupport and the set of coassociated primes of these modules more precisely.
Majid Eghbali
exaly   +5 more sources

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
doaj   +2 more sources

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
doaj   +3 more sources

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, Mahbobeh Gasemi-Kalemasihi   +1 more
doaj   +2 more sources

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
doaj   +2 more sources

On Formal Local Cohomology and Connectedness

Journal of Algebra, 2007
Let \({\mathfrak a}\) be an ideal of a commutative noetherian local ring \((R,{\mathfrak m})\). Also, let \(M\) be a finitely generated \(R\)-module. The paper under review concerns the formal cohomology modules. For each non-negative integer \(i\), the \(i\)th formal cohomology module of \(M\) with respect to \({\mathfrak a}\) is defined as ...
Peter Schenzel
exaly   +2 more sources

A Unified Approach to Formal Local Cohomology and Local Tate Cohomology

Rocky Mountain Journal of Mathematics, 2014
Let R be a commutative Noetherian ring. We introduce a theory of formal local cohomology for complexes of R-modules. As an application, we establish some relations between formal local cohomology, local homology, local cohomology and local Tate cohomology through some natural isomorphisms.
Kamran Divaani-Aazar, Mohsen Asgharzadeh
exaly   +4 more sources

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
exaly   +3 more sources

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   +2 more sources