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n-JORDAN HOMOMORPHISMS

Published online by Cambridge University Press:  19 June 2009

M. ESHAGHI GORDJI*
Affiliation:
Department of Mathematics, Semnan University, PO Box 35195-363, Semnan, Iran (email: [email protected])
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Abstract

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Let n∈ℕ and let A and B be rings. An additive map h:AB is called an n-Jordan homomorphism if h(an)=(h(a))n for all aA. Every Jordan homomorphism is an n-Jordan homomorphism, for all n≥2, but the converse is false in general. In this paper we investigate the n-Jordan homomorphisms on Banach algebras. Some results related to continuity are given as well.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2009

References

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