Results on the normality of square-free monomial ideals and cover ideals under some graph operations
Commutative Algebra
2021-12-07 v1
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.
Cite
@article{arxiv.2112.02458,
title = {Results on the normality of square-free monomial ideals and cover ideals under some graph operations},
author = {Ibrahim Al-Ayyoub and Mehrdad Nasernejad and Kazem Khashyarmanesh and Leslie G. Roberts and Veronica Crispin Quiñonez},
journal= {arXiv preprint arXiv:2112.02458},
year = {2021}
}
Comments
15 pages, 2 figures; pre-published version