A characterization of b-generalized skew derivations on lie ideal of a prime ring

2023/06/23 by Pandey, Ashutosh, Pandey, Mani Shankar
#16N60 #16W25 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2306.13744

Abstract

Let R be a prime ring of characteristic different from 2, U be its Utumi quotient ring, C be its extended centroid and L be a non-central Lie ideal of R. Suppose F and G are two non-zero b-generalized skew derivations of R associated with the same automorphism α such that puF(u) + F(u)uq = G(u²), with p + q ∉ C,~~ for all u ∈ L. This paper aims to study the complete structure of the b-generalized skew derivations F and G.

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