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 …
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 …
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 …
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 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 …
A generalization of the cofiniteness problem in local cohomology modules
J Asadollahi, K Khashyarmanesh… - Journal of the Australian …, 2003 - cambridge.org
Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely
generated R-module. In this paper, we prove that if an ideal I of R is generated by a usd …
generated R-module. In this paper, we prove that if an ideal I of R is generated by a usd …
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 local cohomology modules for principal ideals
KI Kawasaki - Bulletin of the London Mathematical Society, 1998 - academic.oup.com
COFINITENESS OF LOCAL COHOMOLOGY MODULES FOR PRINCIPAL IDEALS Page 1
COFINITENESS OF LOCAL COHOMOLOGY MODULES FOR PRINCIPAL IDEALS KEN-ICHIROH …
COFINITENESS OF LOCAL COHOMOLOGY MODULES FOR PRINCIPAL IDEALS KEN-ICHIROH …
Finiteness properties of formal local cohomology modules and Cohen–Macaulayness
M Asgharzadeh, K Divaani-Aazar - Communications in Algebra®, 2011 - Taylor & Francis
Let 𝔞 be an ideal of a local ring (R, 𝔪) and M a finitely generated R-module. We investigate
the structure of the formal local cohomology modules, i≥ 0. We prove several results …
the structure of the formal local cohomology modules, i≥ 0. We prove several results …
Associated primes and cofiniteness of local cohomology modules
Let be an ideal of Noetherian ring R and let s be a non-negative integer. Let M be an R-
module such that is finite R-module. If s is the first integer such that the local cohomology …
module such that is finite R-module. If s is the first integer such that the local cohomology …