On the associated primes of generalized local cohomology modules

A Mafi - Communications in Algebra®, 2006 - Taylor & Francis
Let 𝔞 be an ideal of a commutative Noetherian ring R with identity and let M and N be two
finitely generated R-modules. Let t be a positive integer. It is shown that is contained in the …

Associated primes of local cohomology modules

K Divaani-Aazar, A Mafi - Proceedings of the American Mathematical …, 2005 - ams.org
Let $\mathfrak {a} $ be an ideal of a commutative Noetherian ring $ R $ and $ M $ a finitely
generated $ R $-module. Let $ t $ be a natural integer. It is shown that there is a finite subset …

On the finiteness results of the generalized local cohomology modules

A Mafi - Algebra Colloquium, 2009 - World Scientific
Let 𝔞 be an ideal of a commutative Noetherian local ring R, and let M and N be two finitely
generated R-modules. Let t be a positive integer. It is shown that if the support of the …

A note on the associated primes of local cohomology modules

KB Lorestani, P Sahandi, T Sharif - Communications in Algebra®, 2006 - Taylor & Francis
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Associated primes of generalized local cohomology modules

S Yassemi, L Khatami, T Sharif - Communications in Algebra, 2002 - Taylor & Francis
We show that the first non-finitely generated generalized local cohomology modules of a
finite modules M and N over a Noetherian ring R with respect to an ideal of R has only …

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 …

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 …

On the finiteness properties of the generalized local cohomology modules

J Asadollahi, K Khashyarmanesh… - Communications in …, 2002 - Taylor & Francis
ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY
MODULES Page 1 ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL …

On the Artinianness of generalized local cohomology

L Chu, Z Tang - Communications in Algebra, 2007 - Taylor & Francis
Let R be a commutative Noetherian local ring, I a proper ideal of R, M, and N finitely
generated R-modules. It is proved that f-depth (I+ Ann (M), N) is the least integer r such that …

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 …