Title : ( Symbolic strong persistence property under monomial operations and strong persistence property of cover ideals )
Authors: Kazem Khashyarmanesh , , Jonathan Toledo ,
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Abstract
Let R be a commutative Noetherian ring and I be an ideal of R. Then, I has the strong persistence property if (Ik+1 :R I) = Ik for all k. Also, we say that I has the symbolic strong persistence property if (I(k+1) :R I(1)) = I(k) for all k, where I(k) de- notes the k-th symbolic power of I. In this paper, by using some monomial operations, such as expansion, weighting, monomial multiple, monomial localization, and contrac- tion, we introduce several methods for constructing new monomial ideals which have the symbolic strong persistence property based on the monomial ideals which have the symbolic strong persistence property. We also probe the strong persistence property of the cover ideal of the union of two finite simple graphs.
Keywords
, Strong persistence property, associated primes, cover ideals, symbolic strong persistence property.
@article{paperid:1088128,
author = {Khashyarmanesh, Kazem and , and Jonathan Toledo},
title = {Symbolic strong persistence property under monomial operations and strong persistence property of cover ideals},
journal = {Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie},
year = {2021},
volume = {112},
number = {2},
month = {August},
issn = {1220-3874},
pages = {105--131},
numpages = {26},
keywords = {Strong persistence property; associated primes; cover ideals; symbolic strong persistence property.},
}
%0 Journal Article
%T Symbolic strong persistence property under monomial operations and strong persistence property of cover ideals
%A Khashyarmanesh, Kazem
%A ,
%A Jonathan Toledo
%J Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
%@ 1220-3874
%D 2021
