A note on power values of generalized derivation in prime ring and noncommutative Banach algebras
نویسندگان
چکیده مقاله:
Let $R$ be a prime ring with extended centroid $C$, $H$ a generalized derivation of $R$ and $ngeq 1$ a fixed integer. In this paper we study the situations: (1) If $(H(xy))^n =(H(x))^n(H(y))^n$ for all $x,yin R$; (2) obtain some related result in case $R$ is a noncommutative Banach algebra and $H$ is continuous or spectrally bounded.
منابع مشابه
a note on power values of generalized derivation in prime ring and noncommutative banach algebras
let r be a prime ring with extended centroid c, h a generalized derivation of r and n ⩾ 1 a xed integer. in this paper we study the situations: (1) if (h(xy))n = (h(x))n(h(y))n for all x; y 2 r; (2) obtain some related result in case r is a noncommutative banach algebra and h is continuous or spectrally bounded.
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عنوان ژورنال
دوره 01 شماره 01
صفحات 15- 20
تاریخ انتشار 2012-03-01
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