Jordan elementary maps on rings
Abbreviated Journal Title
Linear Alg. Appl.
Jordan elementary maps; additivity; rings; STANDARD OPERATOR-ALGEBRAS; MAPPINGS; Mathematics, Applied; Mathematics
Let R be a 2-torsion free prime ring containing a non-trivial idempotent and R' be an arbitrary ring. Suppose that M:R-->R' and M*:R'-->R are surjective maps such that M(xM*(y)x) = M(x)yM(x), M*(yM(x)y) = M*(y)xM*(y) for all x is an element of R, y is an element of R'. Then both M and M* are additive. In particular, a bijective map phi: R-->R' satisfying phi(xyx) = phi(X)phi(y)phi(x) for all x, y is an element of R is additive. (C) 2004 Elsevier Inc. All rights reserved.
Linear Algebra and Its Applications
"Jordan elementary maps on rings" (2004). Faculty Bibliography 2000s. 4541.