Sahebi, S., Rahmani, V. (2012). A note on power values of generalized derivation in prime ring and noncommutative Banach algebras. Journal of Linear and Topological Algebra (JLTA), 01(01), 15-20.

SH Sahebi; V Rahmani. "A note on power values of generalized derivation in prime ring and noncommutative Banach algebras". Journal of Linear and Topological Algebra (JLTA), 01, 01, 2012, 15-20.

Sahebi, S., Rahmani, V. (2012). 'A note on power values of generalized derivation in prime ring and noncommutative Banach algebras', Journal of Linear and Topological Algebra (JLTA), 01(01), pp. 15-20.

Sahebi, S., Rahmani, V. A note on power values of generalized derivation in prime ring and noncommutative Banach algebras. Journal of Linear and Topological Algebra (JLTA), 2012; 01(01): 15-20.

A note on power values of generalized derivation in prime ring and noncommutative Banach algebras

^{1}Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran;

^{2}Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran

Abstract

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.