Title : ( Classes of normally and nearly normally torsion-free monomial ideals )
Authors: , Ayesha Asloob Qureshi , Kazem Khashyarmanesh , Leslie G. Roberts ,
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Abstract
In this paper, our main focus is to explore different classes of nearly normally torsion-free ideals. We first characterize all finite simple connected graphs with nearly normally torsion-free cover ideals. Next, we characterize all normally torsion-free t-spread principal Borel ideals that can also be viewed as edge ideals of uniform multipartite hypergraphs.
Keywords
, Normally torsion, free ideals; nearly normally torsion, free ideals; associated prime ideals; t, spread monomial ideals; hypergraphs
@article{paperid:1094210,
author = {, and Ayesha Asloob Qureshi and Khashyarmanesh, Kazem and Leslie G. Roberts},
title = {Classes of normally and nearly normally torsion-free monomial ideals},
journal = {Communications in Algebra},
year = {2022},
volume = {50},
number = {9},
month = {September},
issn = {0092-7872},
pages = {3715--3733},
numpages = {18},
keywords = {Normally torsion-free ideals;
nearly normally torsion-free
ideals; associated prime
ideals; t-spread monomial
ideals; hypergraphs},
}
%0 Journal Article
%T Classes of normally and nearly normally torsion-free monomial ideals
%A ,
%A Ayesha Asloob Qureshi
%A Khashyarmanesh, Kazem
%A Leslie G. Roberts
%J Communications in Algebra
%@ 0092-7872
%D 2022
