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arXiv · 2106.10219

Classes of normally and nearly normally torsion-free monomial ideals

Mehrdad Nasernejad·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.

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Mehrdad Nasernejad, Ayesha Asloob Qureshi, Kazem Khashyarmanesh, Leslie G. Roberts. 2021-06-18. Classes of normally and nearly normally torsion-free monomial ideals. https://doi.org/10.1080/00927872.2022.2042546

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