Generalized derivations as a generalization of Jordan homomorphisms
  acting on Lie ideals and right ideals

Dhara, Basudeb; Sahebi, Shervin; Rahmani, Venus

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Generalized derivations as a generalization of Jordan homomorphisms acting on Lie ideals and right ideals

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Author(s): Basudeb Dhara, Shervin Sahebi, Venus Rahmani

Publication date: 2014-09-21

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Abstract

Let R be a prime ring with center Z(R) and extended centroid C, H a non-zero generalized derivation of R and n>1 a fi?xed integer. In this paper we study the situations: (1) H(u2)n-H(u)2n in C for all u in L, where L is a non-central Lie ideal of R; (2) H(u2)n - H(u)2n = 0 for all u in [I; I], where I is a nonzero right ideal of R.