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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