Author/Authors :
Bodaghi، A. نويسنده Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran , , Shojaee، B. نويسنده Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran ,
Abstract :
Let n N. An additive map between algebras A and B is called
n-Jordan homomorphism if h(a^n) = (h(a))^n for all . We show that every n-Jordan homomorphism between commutative Banach algebras is a n-ring homomorphism when n < 8.For these cases, every involutive n-Jordan homomorphism between commutative C-algebras is norm continuous