Title : ( Associated primes of powers of cover ideals under graph operations )
Authors: , Kazem Khashyarmanesh , Ibrahim Al-Ayyoub ,
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Abstract
An ideal I in a commutative Noetherian ring R has the strong persistence property if I^t+1:R=I^t It for all positive integers t. In this article, we focus on how some graph operations affect the strong persistence property of the cover ideals. As applications, we show that the cover ideals of some imperfect graphs satisfy the strong persistence property.
Keywords
Cycles; Helm graphs; wheel graphs; cover ideals; associated primes
@article{paperid:1088119,
author = {, and Khashyarmanesh, Kazem and Ibrahim Al-Ayyoub},
title = {Associated primes of powers of cover ideals under graph operations},
journal = {Communications in Algebra},
year = {2019},
volume = {47},
number = {5},
month = {May},
issn = {0092-7872},
pages = {1985--1996},
numpages = {11},
keywords = {Cycles; Helm graphs; wheel
graphs; cover ideals;
associated primes},
}
%0 Journal Article
%T Associated primes of powers of cover ideals under graph operations
%A ,
%A Khashyarmanesh, Kazem
%A Ibrahim Al-Ayyoub
%J Communications in Algebra
%@ 0092-7872
%D 2019
