Cofiniteness and associated primes of local cohomology modules
T Marley, JC Vassilev - Journal of Algebra, 2002 - Elsevier
Let R be ad-dimensional regular local ring, I an ideal of R, and M a finitely generated R-
module of dimension n. We prove that the set of associated primes of Ext Ri (R/I, H Ij (M)) is …
module of dimension n. We prove that the set of associated primes of Ext Ri (R/I, H Ij (M)) is …
Cofiniteness of generalized local cohomology modules
K Divaani-Aazar, R Sazeedeh - arXiv preprint math/0408163, 2004 - arxiv.org
Let $\fa $ denote an ideal of a commutative Noetherian ring $ R $ and $ M $ and $ N $ two
finitely generated $ R $-modules with $\pd M<\infty $. It is shown that if $\fa $ is principal or …
finitely generated $ R $-modules with $\pd M<\infty $. It is shown that if $\fa $ is principal or …
Cofinite modules and local cohomology
D Delfino, T Marley - Journal of Pure and Applied Algebra, 1997 - Elsevier
We show that if M is a finitely generated module over a commutative Noetherian local ring R
and I is a dimension one ideal of R (ie, dim RI= 1), then the local cohomology modules HIi …
and I is a dimension one ideal of R (ie, dim RI= 1), then the local cohomology modules HIi …
Cofiniteness of local cohomology modules for ideals of small dimension
K Bahmanpour, R Naghipour - Journal of Algebra, 2009 - Elsevier
Let R be a commutative Noetherian ring and let M be a non-zero finitely generated R-
module. Let I be an ideal of R and ta non-negative integer such that dimSuppHIi (M)⩽ 1 for …
module. Let I be an ideal of R and ta non-negative integer such that dimSuppHIi (M)⩽ 1 for …
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 …
Page 1 K.-I. Yoshida Nagoya Math. J. Vol. 147 (1997), 179-191 COFINITENESS OF LOCAL …
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 …
Canadian Mathematical Bulletin doi:10.4153/CMB-2011-046-8 c©Canadian Mathematical …
The associated primes of local cohomology modules over rings of small dimension
T Marley - manuscripta mathematica, 2001 - Springer
Let R be a commutative Noetherian local ring of dimension d, I an ideal of R, and M a finitely
generated R-module. We prove that the set of associated primes of the local cohomology …
generated R-module. We prove that the set of associated primes of the local cohomology …
Some results on local cohomology modules
A Mafi - Archiv der Mathematik, 2006 - Springer
Let R be a commutative Noetherian ring, a an ideal of R, and let M be a finitely generated R-
module. For a non-negative integer t, we prove that H_ a^ t (M) is a-cofinite whenever H_ a …
module. For a non-negative integer t, we prove that H_ a^ t (M) is a-cofinite whenever H_ a …
On the vanishing and the finiteness of supports of generalized local cohomology modules
NT Cuong, N Van Hoang - manuscripta mathematica, 2008 - Springer
Let (R, m) be a Noetherian local ring, I an ideal of R and M, N two finitely generated R-
modules. The first result of this paper is to prove a vanishing theorem for generalized local …
modules. The first result of this paper is to prove a vanishing theorem for generalized local …
On the finiteness of associated primes of local cohomology modules
P Quy - Proceedings of the American Mathematical Society, 2010 - ams.org
Let $ R $ be a Noetherian ring, $\mathfrak a $ be an ideal of $ R $ and $ M $ be a finitely
generated $ R $-module. The aim of this paper is to show that if $ t $ is the least integer such …
generated $ R $-module. The aim of this paper is to show that if $ t $ is the least integer such …