IDENTITIES WITH DERIVATIONS IN RINGS

被引：9
|
作者：
Fosner, Ajda [1 ]
Fosner, Maja [2 ]
Vukman, Joso [3 ]
机构：
[1] Univ Primorska, Fac Management, Koper 6104, Slovenia
[2] Univ Maribor, Fac Logist, Celje 3000, Slovenia
[3] Univ Maribor, Fac Nat Sci & Math, Dept Math & Comp Sci, Maribor 2000, Slovenia
来源：
GLASNIK MATEMATICKI | 2011年 / 46卷 / 02期
关键词：
Prime ring; semiprime ring; derivation; SEMIPRIME RINGS;
D O I：
10.3336/gm.46.2.06
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate identities with derivations in rings. We prove, for example the following result. Let m >= in >= 1 be some fixed integers and let R be a 6nm(2) (2m+n-3)!-torsion free semiprime ring. Suppose there exists a derivation D : R -> R satisfying the relation [[D(x(m)), x(n)], D(x(m))] = 0 for all x is an element of R. In this case D maps R into its center.
引用
收藏
页码：339 / 349
页数：11
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