$n$-Jordan homomorphisms on C-algebras

Authors

  • A. Bodaghi Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
  • B. Shojaee Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Abstract:

Let $nin mathbb{N}$. An additive map $h:Ato B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $ain A$. 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.

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Journal title

volume 01  issue 01

pages  1- 7

publication date 2012-03-01

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