A Characterization of Sequentially Cohen–Macaulay Matroidal Ideals

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-06-01 DOI:10.1142/s1005386723000196

Payman Mahmood Hamaali, A. Mafi, H. Saremi

引用次数: 1

Abstract

Let [Formula: see text] be the polynomial ring in [Formula: see text] variables over a field [Formula: see text] and [Formula: see text] be a matroidal ideal of [Formula: see text]. We show that [Formula: see text] is sequentially Cohen–Macaulay if and only if the [Formula: see text] has linear quotients. As a consequence, [Formula: see text] is sequentially Cohen–Macaulay if and only if [Formula: see text] is shellable.

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序贯科恩-麦考利矩阵理想的表征

设[公式:见文]为[公式:见文]域中变量[公式:见文]中的多项式环，[公式:见文]为[公式:见文]的矩阵理想。我们证明，当且仅当[公式:见文本]具有线性商时，[公式:见文本]是顺序Cohen-Macaulay。因此，当且仅当[Formula: see text]是可shell时，[Formula: see text]是顺序Cohen-Macaulay。

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

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.