NOTES ON GENERALIZED DERIVATIONS OF *-PRIME RINGS

被引：1

作者：

Koc, Emine ^{[1
]}

Rehman, Nadeem Ur ^{[2
]}

机构：

[1] Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkey

[2] Aligarh Muslim Univ, Aligarh, Uttar Pradesh, India

来源：

MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 01期

关键词：

prime rings; derivations; generalized derivations; Lie ideals;

D O I：

10.18514/MMN.2014.779

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a *-prime ring with characteristic different from two and U not equal 0 be a square closed *-Lie ideal of R. An additive mapping F : R -> R is called an generalized derivation if there exits a derivation d : R -> R such that F(xy) = F(x)y + xd(y). In the present paper, it is shown that U subset of Z if R is a *-prime ring which admits a generalized derivation satisfying several conditions that are associated with a derivation commuting with *.

引用

页码：117 / 123

页数：7

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