Nice derivations over principal ideal domains

被引：0
|
作者：
Dasgupta, Nikhilesh [1 ]
Gupta, Neena [1 ]
机构：
[1] Indian Stat Inst, Stat & Math Unit, 203 BT Rd, Kolkata 700108, India
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 12期
关键词：
LOCALLY NILPOTENT DERIVATIONS; TRIANGULAR DERIVATIONS; R-DERIVATIONS;
D O I：
10.1016/j.jpaa.2018.02.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate to what extent the results of Z. Wang and D. Daigle on "nice derivations" of the polynomial ring k[X, Y, Z] over a field k of characteristic zero extend to the polynomial ring R[X, Y, Z] over a PID R, containing the field of rational numbers. One of our results shows that the kernel of a nice derivation on k[X-1,X- X-2, X-3, X-4] of rank at most three is a polynomial ring over k. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：4161 / 4172
页数：12
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