Results 1 to 10 of about 104 (95)

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

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   +3 more sources

Some Results on Generalized Local Cohomology Modules [PDF]

Communications in Algebra, 2015
Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. Here, we show that, in the Serre subcategories of the category of $R$--modules, how the generalized local cohomology modules, the ordinary local cohomology modules and the extension modules behave similarly ...
Moharram Aghapournahr, Alireza Vahidi
exaly   +3 more sources

On the Associated Primes of Generalized Local Cohomology Modules [PDF]

Communications in Algebra, 2006
7 pages, to appear in Communications in ...
Amir Mafi
exaly   +3 more sources

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
doaj   +2 more sources

On the cofiniteness of generalized local cohomology modules

Kyoto Journal of Mathematics, 2015
Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$, $N$ two finitely generated $R$-modules. The aim of this paper is to investigate the $I$-cofiniteness of generalized local cohomology modules $\displaystyle H^j_I(M,N)=\dlim\Ext^j_R(M/I^nM,N)$ of $M$ and $N$ with respect to $I$. We first prove that if $I$ is a principal ideal then $H^
Shiro Gotō, Nguyen Tu Cuong
exaly   +5 more sources

GENERALIZED LOCAL COHOMOLOGY AND MATLIS DUALITY

Honam Mathematical Journal, 2008
Let (R, m) be a Noetherian local ring with maximal ideal m, E := (R/m) and let I be an ideal of R. Let M and N be finitely generated R-modules. It is shown that where grade(I, N) = n = (I, N). We also show that for n = grade(I, R), one has .
exaly   +2 more sources

FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS [PDF]

Journal of Algebraic Systems, 2023
Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local ...
F. Dehghani-Zadeh, A.R. Hajikarimi
doaj   +1 more source

ON THE PROJECTIVE DIMENSION OF ARTINIAN MODULES [PDF]

Journal of Algebraic Systems, 2021
Let $(R, \mathfrak{m})$ be a Noetherian local ring and $M$, $N$ be two finitely generated $R$-modules. In this paper it is shown that $R$ is a Cohen-Macaulay ring if and only if $R$ admits a non-zero Artinian $R$-module $A$ of finite projective dimension;
Y. Irani, K. Bahmanpour, Gh. Ghasemi
doaj   +1 more source

On Vanishing of Generalized Local Cohomology Modules [PDF]

Algebra Colloquium, 2005
Let [Formula: see text] denote an ideal of a d-dimensional Gorenstein local ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that [Formula: see text] if and only if [Formula: see text] for all [Formula: see text].
Divaani-Aazar, K., Sazeedeh, R., Tousi, M.   +2 more
openaire   +3 more sources