Unmixedness and arithmetic properties of matroidal ideals

被引：0
作者：
Hero Saremi
Amir Mafi
机构：
[1] Islamic Azad University,Department of Mathematics, Sanandaj Branch
[2] University of Kurdistan,Department of Mathematics
来源：
Archiv der Mathematik | 2020年 / 114卷
关键词：
Arithmetical rank; Unmixed ideals; Matroidal ideals; 13C40; 13F20; 13C13;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let R=k[x1,…,xn]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R=k[x_1,\ldots ,x_n]$$\end{document} be the polynomial ring in n variables over a field k and let I be a matroidal ideal of degree d. In this paper, we study the unmixedness properties and the arithmetical rank of I. Moreover, we show that ara(I)=n-d+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ara(I)=n-d+1$$\end{document}. This answers the conjecture made by Chiang-Hsieh (Comm Algebra 38:944–952, 2010, Conjecture).
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页码：299 / 304
页数：5
相关论文
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