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.

引用

页数：10

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