Filter Regular Sequences and Generalized Local Cohomology Modules

Khashyarmanesh, Kazem; Yassi, M.; Abbasi, Ahmad

doi:10.1081/agb-120027864

Cited by 12 publications

(7 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The next corollary, which is an immediate consequence of Corollary 4.2, can be also directly deduced from Lemma 2.2 in [18] and Theorem 4.1. In the following two theorems, we want to investigate supports of the R-modules R j F (H n a (M )) and L j T (H n a (M )).…”

Section: Corollary 43 (Compare [15 Theorem 29(i)]) Let N ∈ N 0 Sumentioning

confidence: 69%

On the Behavior of Applying Derived Functors of Torsion Functors on Local Cohomology Modules

Khashyarmanesh

Khosh-Ahang

2012

J. Algebra Appl.

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Corollary 43 (Compare [15 Theorem 29(i)]) Let N ∈ N 0 Sumentioning

confidence: 69%

On the Behavior of Applying Derived Functors of Torsion Functors on Local Cohomology Modules

Khashyarmanesh

Khosh-Ahang

2012

J. Algebra Appl.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Recently, there has been a great interest in studying the role of the filter regular sequences in the theory of local cohomology and there have appeared many papers in this area, see for instance [8,10,[13][14][15]18,21,22,26,28,29]. We will denote the supremum of all numbers n ∈ N 0 for which there exists an a-filter regular M-sequence of length n in b by f-grad (a, b, M).…”

Section: Introductionmentioning

confidence: 99%

Filter Regular Sequences and Generalized Local Cohomology Modules

Fathi

Tehranian

Zakeri³

2014

Bull. Malays. Math. Sci. Soc.

View full text Add to dashboard Cite

Let a, b be ideals of a commutative Noetherian ring R and let M, N be finite R-modules. The concept of an a-filter grade of b on M is introduced and several characterizations and properties of this notion are given. Then, using the above characterizations, we obtain some results on generalized local cohomology modules H i a (M, N ). In particular, first we determine the least integer i for which H i a (M, N ) is not Artinian. Then we prove that H i a (M, N ) is Artinian for all i ∈ N 0 if and only if dim R/(a + Ann M + Ann N ) = 0. Also, we establish the Nagel-Schenzel formula for generalized local cohomology modules. Finally, in a certain case, the set of attached primes of H i a (M, N ) is determined and a comparison between this set and the set of attached primes of H i a (N ) is given.

show abstract

“…where i e N o , and was studied in [1,11,14,16,22,23] (here N o and N denote the set of non-negative and positive integers, respectively; Z will denote the set of all integers). It is well known that the functor # / ( -, -) : C(R) x C(/?)…”

Section: Hj(m N) = Lim Ext' S (M/fm N)mentioning

confidence: 99%

On the asymptotic behaviour of associated primes of generalized local cohomology modules

Khashyarmaneshs

Abbasi²

2007

J. Aust. Math. Soc.

View full text Add to dashboard Cite

Let M and A' be finitely generated and graded modules over a standard positive graded commutative Noetherian ring R, with irrelevant ideal /?+. Let H# (M, N) n be the nth component of the graded generalized local cohomology module H R+ (M, N). In this paper we study the asymptotic behavior of Assfl + (//| + (Af, N) n ) as n ->• -oo whenever k is the least integer j for which the ordinary local cohomology module H' R+ (N) is not finitely generated.

show abstract

Filter Regular Sequences and Generalized Local Cohomology Modules

Cited by 12 publications

References 15 publications

On the Behavior of Applying Derived Functors of Torsion Functors on Local Cohomology Modules

On the Behavior of Applying Derived Functors of Torsion Functors on Local Cohomology Modules

Filter Regular Sequences and Generalized Local Cohomology Modules

On the asymptotic behaviour of associated primes of generalized local cohomology modules

Contact Info

Product

Resources

About