Generalized derivations as a generalization of Jordan homomorphisms acting on Lie ideals and right ideals
Rings and Algebras
2016-11-04 v1
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 fixed 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.
Keywords
Cite
@article{arxiv.1409.5950,
title = {Generalized derivations as a generalization of Jordan homomorphisms acting on Lie ideals and right ideals},
author = {Basudeb Dhara and Shervin Sahebi and Venus Rahmani},
journal= {arXiv preprint arXiv:1409.5950},
year = {2016}
}
Comments
14 pages