A Generalization of formal local cohomology modules

S Rezaei - Kyungpook Mathematical Journal, 2016 - koreascience.kr
Let a and b be two ideals of a commutative Noetherian ring R, M a finitely generated R-
module and i an integer. In this paper we study formal local cohomology modules with …

Lichtenbaum-Hartshorne vanishing theorem for generalized local cohomology modules

A Fathi - arXiv preprint arXiv:2310.00743, 2023 - arxiv.org
Let $ R $ be a commutative Noetherian ring, and let $\mathfrak a $ be a proper ideal of $ R
$. Let $ M $ be a non-zero finitely generated $ R $-module with the finite projective …

Cofiniteness of generalized local cohomology modules for one-dimensional ideals

K Divaani-Aazar, A Hajikarimi - Canadian Mathematical Bulletin, 2012 - cambridge.org
Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals Page 1
Canadian Mathematical Bulletin doi:10.4153/CMB-2011-046-8 c©Canadian Mathematical …

Finiteness result for generalized local cohomology modules

A Tehranian - Taiwanese Journal of Mathematics, 2010 - JSTOR
Let R be a Noetherian ring, let M and N be finitely generated modules and let α and b be
ideals of R. Let s be an integer such that bp⊆ AnnH_a_p^i\left(M_p,N_p\right) for all i< s and …

Cofiniteness of local cohomology modules for ideals of dimension one

KI Yoshida - Nagoya mathematical journal, 1997 - cambridge.org
COFINITENESS OF LOCAL COHOMOLOGY MODULES FOR IDEALS OF DIMENSION ONE
Page 1 K.-I. Yoshida Nagoya Math. J. Vol. 147 (1997), 179-191 COFINITENESS OF LOCAL …

Some criteria for the Cohen-Macaulay property and local cohomology

A Mafi - Acta Mathematica Sinica, English Series, 2009 - Springer
Let a be an ideal of a commutative Noetherian ring R and M be a finitely generated R-
module of dimension d. We characterize Cohen-Macaulay rings in term of a special …

Cofiniteness of local cohomology modules for a pair of ideals for small dimensions

M Aghapournahr - Journal of Algebra and Its Applications, 2018 - World Scientific
Let R be a commutative Noetherian ring, I and J be two ideals of R and M be an R-module
(not necessary I-torsion). In this paper among other things, it is shown that if dim M≤ 1, then …

[PDF][PDF] Finiteness dimensions and cofiniteness of generalized local cohomology modules

A Vahidi, M Aghapournahr, EM Renani - arXiv preprint arXiv:1810.10223, 2018 - imar.ro
Throughout, R is a commutative Noetherian ring with non-zero identity, a is an ideal of R, M
is a finite (ie, finitely generated) R-module, and n is a non-negative integer. For basic results …

On the attached primes of top local cohomology modules

S Rezaei - Communications in Algebra, 2024 - Taylor & Francis
Let a be an ideal of Noetherian ring R and M a finitely generated R-module such that cd (a,
M)= c. In this paper, we investigate Att R (H ac (M)). Among other things, it is shown that Max …

[HTML][HTML] Finiteness of graded local cohomology modules

R Sazeedeh - Journal of Pure and Applied Algebra, 2008 - Elsevier
Let [Formula: see text] be a Noetherian homogeneous ring with local base ring (R0, m0) and
irrelevant ideal R+, let M be a finitely generated graded R-module. In this paper we show …