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数学与物理学

不可约单项式理想乘积的Castelnuovo-Mumford正则度

  • 宋娟娟 ,
  • 高玉彬
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  • 陕西师范大学数学与信息科学学院, 西安 710062

收稿日期: 2017-05-09

  修回日期: 2017-09-25

  网络出版日期: 2018-11-15

基金资助

国家自然科学基金(11301315)资助

On the Castelnuovo-Mumford regularity of product of irreducible monomial ideals

  • SONG Juanjuan ,
  • GAO Yubin
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  • College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China

Received date: 2017-05-09

  Revised date: 2017-09-25

  Online published: 2018-11-15

摘要

对于域k上多元多项式环k[x1,…,xn]中不可约单项式理想I、J、KL,证明reg(IJKL)≤reg(I)+reg(J)+reg(K)+reg(L).

本文引用格式

宋娟娟 , 高玉彬 . 不可约单项式理想乘积的Castelnuovo-Mumford正则度[J]. 中国科学院大学学报, 2018 , 35(6) : 724 -730 . DOI: 10.7523/j.issn.2095-6134.2018.06.002

Abstract

Let I, J, K, and L be irreducible monomial ideals in a polynomial ring over a field k. In this paper, we prove reg(IJKL) ≤ reg(I)+reg(J)+reg(K)+reg(L).

参考文献

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