Title : ( Results on the normality of square-free monomial ideals and cover ideals under some graph operations )
Authors: Ibrahim A-ayyoub , , Kazem Khashyarmanesh , Leslie G. Roberts , Veronica Crispin Quinonez ,
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Abstract
In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover ideals under some graph operations. Square-free monomial ideals that come out as linear combinations of two normal ideals are shown to be not necessarily normal; under such a case we investigate the integral closedness of all powers of these ideals.
Keywords
, normality, square-free monomial ideal, cover ideals
@article{paperid:1088123,
author = {Ibrahim Al-ayyoub and , and Khashyarmanesh, Kazem and Leslie G. Roberts and Veronica Crispin Quinonez},
title = {Results on the normality of square-free monomial ideals and cover ideals under some graph operations},
journal = {Mathematica Scandinavica},
year = {2021},
volume = {127},
number = {3},
month = {November},
issn = {0025-5521},
keywords = {normality; square-free monomial ideal; cover ideals},
}
%0 Journal Article
%T Results on the normality of square-free monomial ideals and cover ideals under some graph operations
%A Ibrahim Al-ayyoub
%A ,
%A Khashyarmanesh, Kazem
%A Leslie G. Roberts
%A Veronica Crispin Quinonez
%J Mathematica Scandinavica
%@ 0025-5521
%D 2021
