A NOTE ON (σ,τ)-DERIVATIONS OF RINGS WITH INVOLUTION

被引：0

作者：

Koc, Emine ^{[1
]}

Golbasi, Oznur ^{[1
]}

机构：

[1] Cumhuriyet Univ, Dept Math, Sivas, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 02期

关键词：

semiprime rings; prime rings; derivations; (sigma; tau)-derivations; generalized derivations; rings with involution; SEMI-PRIME RINGS; GENERALIZED DERIVATIONS; SEMIPRIME RINGS; LIE STRUCTURE; IDEALS;

D O I：

10.18514/MMN.2014.476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a 2-torsion free simple *-ring and D: W R -> R be an additive mapping satisfiying D(xx) = D(x)sigma(x*) +tau(x)D(X*) for all x epsilon R: Then D is (sigma,tau)-derivation of R or R is S-4 ring. Also, if R is a 2-torsion free semiprime ring and G W R -> R is an additive mapping related with some (sigma,tau)- derivation D of R such that G(xx*) = G(X)sigma(x*) + tau(x) D(x*) for all x epsilon R; then G is generalized (sigma,tau)-derivation of R:

引用

页码：559 / 569

页数：11

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