Lie triple centralizers on generalized matrix algebras

Authors

Behrooz Fadaee, University of Kurdistan
Hoger Ghahramani, University of Kurdistan
Wu Jing, Fayetteville State University

Document Type

Article

Publication Date

1-1-2023

Abstract

In this article, we introduce the notion of Lie triple centralizer as follows. Let (Figure presented.) be an algebra, and (Figure presented.) be a linear mapping. We say that ϕ is a Lie triple centralizer whenever (Figure presented.) for all (Figure presented.). Then we characterize the general form of Lie triple centralizers on a generalized matrix algebra (Figure presented.) and under some mild conditions on (Figure presented.) we present the necessary and sufficient conditions for a Lie triple centralizer to be proper. As an application of our results, we characterize generalized Lie triple derivations on generalized matrix algebras.

Recommended Citation

Fadaee, Behrooz; Ghahramani, Hoger; and Jing, Wu, "Lie triple centralizers on generalized matrix algebras" (2023). College of Business and Economics. 41.
https://digitalcommons.uncfsu.edu/college_business_economics/41