A counterexample to the Grobner ring conjecture

被引：1
|
作者：
Yengui, Ihsen [1 ]
机构：
[1] Univ Sfax, Dept Math, Fac Sci, Sfax 3000, Tunisia
来源：
JOURNAL OF ALGEBRA | 2021年 / 586卷
关键词：
Syzygies; Rational monomial order; Irrational monomial order; Leading terms ideal; Valuation domains; DIMENSION;
D O I：
10.1016/j.jalgebra.2021.07.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose a counterexample to the Grobner ring conjecture in the irrational case. More precisely, we construct a valuation domain V of Krull dimension 1 and a finitely generated ideal J of V[X, Y] equipped with some irrational monomial order <, such that the ideal LT<(J) generated by the leading terms of the elements of J is not finitely generated. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：526 / 536
页数：11
相关论文
共 50 条
12345