| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602504 | Linear Algebra and its Applications | 2009 | 10 Pages |
Abstract
Let AA and BB be two Jordan algebras. In this paper, we investigate the additivity of maps ϕϕ from AA onto BB that are bijective and satisfyϕ(a∘b)=ϕ(a)∘ϕ(b),ϕ(a∘b)=ϕ(a)∘ϕ(b),for all a,b∈Aa,b∈A. If AA contains an idempotent which satisfies some conditions, then ϕϕ is additive. This result generalizes all results about additivity of Jordan maps in [1,3–9,11].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Peisheng Ji,