Residual coordinates over one-dimensional rings

被引：1
|
作者：
El Kahoui, M'hammed [1 ]
Essamaoui, Najoua [1 ]
Ouali, Mustapha [1 ]
机构：
[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, POB 2390, Marrakech, Morocco
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 06期
关键词：
Local coordinate; Polynomial automorphism; Residual coordinate; VARIABLES; MODULES;
D O I：
10.1016/j.jpaa.2020.106629
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a noetherian ring Rand n >= 2, it is well-known that residual coordinates of the polynomial algebra R-[n] are m-stable coordinates for some m >= 1, that is they become coordinates in the larger polynomial algebra R[n+m]. In this paper we prove that, over a large class of noetherian one-dimensional rings, m = 1 is enough. This includes affine algebras over an algebraically closed field as well as noetherian complete local rings containing a field. (C) 2020 Elsevier B.V. All rights reserved.
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页数：10
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