Classes of normally and nearly normally torsion-free monomial ideals

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Nasernejad, Mehrdad and Asloob Topaçoğlu, Ayesha and Khashyarmanesh, Kazem and Roberts, Leslie G. (2022) Classes of normally and nearly normally torsion-free monomial ideals. Communications in Algebra . ISSN 0092-7872 (Print) 1532-4125 (Online) Published Online First http://dx.doi.org/10.1080/00927872.2022.2042546

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Official URL: http://dx.doi.org/10.1080/00927872.2022.2042546

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.

Item Type:	Article
Uncontrolled Keywords:	associated prime ideals; hypergraphs; nearly normally torsion-free ideals; Normally torsion-free ideals; t-spread monomial ideals
Subjects:	Q Science > QA Mathematics > QA150-272.5 Algebra
Divisions:	Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences
Depositing User:	Ayesha Asloob Topaçoğlu
Date Deposited:	13 Jun 2022 15:55
Last Modified:	13 Jun 2022 15:55
URI:	https://research.sabanciuniv.edu/id/eprint/42813

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Classes of normally and nearly normally torsion-free monomial ideals. (deposited 13 Jun 2022 15:55) [Currently Displayed]
- Classes of normally and nearly normally torsion-free monomial ideals. (deposited 23 Aug 2022 20:21)

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