A NOTE ON LOCALLY NILPOTENT DERIVATIONS

被引：16

作者：

FERRERO, M

LEQUAIN, Y

NOWICKI, A

机构：

[1] INST MATEMATICA PURA & APLICADA,BR-22460 RIO DE JANEIRO,BRAZIL

[2] NICHOLAS COPERNICUS UNIV,DEPT MATH,PL-87100 TORUN,POLAND

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1992年 / 79卷 / 01期

关键词：

D O I：

10.1016/0022-4049(92)90125-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative reduced, Z-torsion free ring. Let d and delta be two locally nilpotent derivations of R which commute, a an element of R. We prove that the derivation ad + delta is locally nilpotent if and only if d(a) = 0.

引用

页码：45 / 50

页数：6