Zhang Fang-jua
Abstract
Let M be a unital prime *-ring containing a nontrivial projection P. It is shown that a nonlinear bijective map ф: M→M satisfies ф(AB + BA*)=ф(A) ф(B) +ф(B) ф(A)*for all A,B∈M if and only if ф is a *-ring isomorphism.
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Let M be a unital prime *-ring containing a nontrivial projection P. It is shown that a nonlinear bijective map ф: M→M satisfies ф(AB + BA*)=ф(A) ф(B) +ф(B) ф(A)*for all A,B∈M if and only if ф is a *-ring isomorphism.
Key concepts: Bijection, Prime (order theory), Mathematics, Ring (chemistry), Isomorphism (crystallography), Projection (relational algebra), Combinatorics, Product (mathematics)