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

2014/09/21 by Basudeb Dhara, Dhara, Basudeb, Shervin Sahebi +3
Mathematics · Materials Science · #Advanced Topics in Algebra #Synthesis and properties of polymers

paper · pdf · doi:10.48550/arxiv.1409.5950

Abstract

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

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