Modular Algorithms for Computing Minimal Associated Primes and Radicals of Polynomial Ideals

2018 ◽  
Author(s):  
Toru Aoyama ◽  
Masayuki Noro
Keyword(s):  
Associated Primes ◽  
Polynomial Ideals

Associated primes of powers of cover ideals under graph operations

2019 ◽  
Vol 47 (5) ◽  
pp. 1985-1996 ◽  
Author(s):  
Mehrdad Nasernejad ◽  
Kazem Khashyarmanesh ◽  
Ibrahim Al-Ayyoub
Keyword(s):  
Associated Primes ◽  
Graph Operations

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

Primary decomposition of homogeneous ideal in idealization of a module

2018 ◽  
Vol 55 (3) ◽  
pp. 345-352
Author(s):  
Tran Nguyen An
Keyword(s):  
Noetherian Ring ◽  
Primary Decomposition ◽  
Associated Primes ◽  
Homogeneous Ideal ◽  
Finitely Generated ◽  
Commutative Noetherian Ring ◽  
Irreducible Decomposition

Let R be a commutative Noetherian ring, M a finitely generated R-module, I an ideal of R and N a submodule of M such that IM ⫅ N. In this paper, the primary decomposition and irreducible decomposition of ideal I × N in the idealization of module R ⋉ M are given. From theses we get the formula for associated primes of R ⋉ M and the index of irreducibility of 0R ⋉ M.

scholarly journals Associated primes and syzygies of linked modules

2019 ◽  
Vol 11 (3) ◽  
pp. 301-323
Author(s):  
Olgur Celikbas ◽  
Mohammad T. Dibaei ◽  
Mohsen Gheibi ◽  
Arash Sadeghi ◽  
Ryo Takahashi
Keyword(s):  
Associated Primes

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
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