The associated primes of local cohomology modules over rings of small dimension

2001 ◽  
Vol 104 (4) ◽  
pp. 519-525 ◽  
Author(s):  
Thomas Marley
Keyword(s):  
Local Cohomology ◽  
Small Dimension ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

On the associated primes of local cohomology modules

1999 ◽  
Vol 27 (12) ◽  
pp. 6191-6198 ◽  
Author(s):  
K. Khashyarmanesh ◽  
Sh Salarian
Keyword(s):  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

scholarly journals Local cohomology modules of a smooth $\mathbb{Z}$ -algebra have finitely many associated primes

2013 ◽  
Vol 197 (3) ◽  
pp. 509-519 ◽  
Author(s):  
Bhargav Bhatt ◽  
Manuel Blickle ◽  
Gennady Lyubeznik ◽  
Anurag K. Singh ◽  
Wenliang Zhang
Keyword(s):  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

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

2007 ◽  
Vol 83 (2) ◽  
pp. 217-226 ◽  
Author(s):  
Kazem Khashyarmaneshs ◽  
Ahmad Abbasi
Keyword(s):  
Asymptotic Behavior ◽  
Local Cohomology ◽  
Associated Primes ◽  
Finitely Generated ◽  
Local Cohomology Module ◽  
Commutative Noetherian Ring ◽  
Graded Modules ◽  
Local Cohomology Modules ◽  
Generalized Local Cohomology Modules ◽  
Cohomology Modules

AbstractLetMandNbe finitely generated and graded modules over a standard positive graded commutative Noetherian ringR, with irrelevant idealR+. Letbe thenth component of the graded generalized local cohomology module. In this paper we study the asymptotic behavior of AssfR+() as n → –∞ wheneverkis the least integerjfor which the ordinary local cohomology moduleis not finitely generated.

A Note on the Associated Primes of Local Cohomology Modules

2006 ◽  
Vol 34 (9) ◽  
pp. 3409-3412 ◽  
Author(s):  
Keivan Borna Lorestani ◽  
Parviz Sahandi ◽  
Tirdad Sharif
Keyword(s):  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Cohomology Modules

Ideal transforms and local cohomology defined by a pair of ideals

2018 ◽  
Vol 17 (10) ◽  
pp. 1850200
Author(s):  
L. Z. Chu ◽  
V. H. Jorge Pérez ◽  
P. H. Lima
Keyword(s):  
Algebraic Structure ◽  
Local Cohomology ◽  
Associated Primes ◽  
Local Cohomology Modules ◽  
Generalized Local Cohomology Modules ◽  
Cohomology Modules ◽  
The Ideal

In this paper, we introduce a generalization of the ordinary ideal transform, denoted by [Formula: see text], which is called the ideal transform with respect to a pair of ideals [Formula: see text] and has an apparent algebraic structure. Then we study its various properties and explore the connection with the ordinary ideal transform. Also, we discuss the associated primes of local cohomology modules with respect to a pair of ideals. In particular, we give a characterization for the associated primes of the nonvanishing generalized local cohomology modules.

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