HIGHER LEFT DERIVATIONS ON SEMIPRIME RINGS

被引：0
|
作者：
Park, Kyoo-Hong [1 ]
机构：
[1] Seowon Univ, Dept Math Educ, Cheongju 361742, South Korea
来源：
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2010年 / 17卷 / 04期
关键词：
higher left derivations; semiprime rings; center;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we extend the Bregar and Vukman's result [1, Proposition 1.6], which is well-known, to higher left derivations as follows: let R be a ring. (i) Under a certain condition, the existence of a nonzero higher left derivation implies that R is commutative. (ii) if R is semiprime, every higher left derivation on R is a higher derivation which maps R into its center.
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页码：355 / 362
页数：8
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