Results on the normality of square-free monomial ideals and cover ideals under some graph operations

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2021-11-30 DOI:10.7146/math.scand.a-128963

Ibrahim Al-Ayyoub, M. Nasernejad, K. Khashyarmanesh, L. Roberts, V. C. Quiñonez

引用次数: 2

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.

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关于一些图运算下无平方单理想和覆盖理想的正规性的结果

在这篇文章中，我们介绍了从旧的无平方的正规单项式理想产生的技术。然后，这些技术被用来研究覆盖理想在一些图运算下的正规性。作为两个正规理想的线性组合出现的无平方的单项式理想被证明不一定是正规的；在这种情况下，我们研究了这些理想的所有幂的整体封闭性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.