2023/07/14 by Gouda, Aziza, Nabiel, H.
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2311.08405
The aim of this article is to introduce the concept of centrally-extended Jordan endomorphisms and proving that if R is a non-commutative prime ring of characteristic not two, and G is a CE- Jordan epimorphism such that [G(x), x] ∈ Z(R) ([G(x), x^*] ∈ Z(R)) for all x ∈ R, then R is an order in a central simple algebra of dimension at most 4 over its center or there is an element λ in the extended of R such that G(x) = λx (G(x) = λ^* x^*) for all x ∈ R.