Title : ( A note on the Alexander dual of path ideals of rooted trees )
Authors: Kazem Khashyarmanesh , Mehrdad Nasernejad ,
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Abstract
An ideal I in a commutative Noetherian ring S is called normally torsion-free if AssS(S/Ik) ⊆ AssS(S/I) for all positive integers k, where AssS(S/I) denotes the set of associated prime ideals of I. In this note,we show that the Alexander dual of path ideals generated by all paths of length 2 in rooted trees are normally torsion-free.
Keywords
, Associated primes, normally torsion-free ideals, rooted trees
@article{paperid:1067049,
author = {Khashyarmanesh, Kazem and Mehrdad Nasernejad},
title = {A note on the Alexander dual of path ideals of rooted trees},
journal = {Communications in Algebra},
year = {2017},
volume = {46},
number = {1},
month = {January},
issn = {0092-7872},
pages = {283--289},
numpages = {6},
keywords = {Associated primes; normally torsion-free ideals; rooted trees},
}
%0 Journal Article
%T A note on the Alexander dual of path ideals of rooted trees
%A Khashyarmanesh, Kazem
%A Mehrdad Nasernejad
%J Communications in Algebra
%@ 0092-7872
%D 2017
