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http://dx.doi.org/10.4134/BKMS.b180719

SOME RESULTS ON n-JORDAN HOMOMORPHISMS  

Cheshmavar, Jahangir (Department of Mathematics Payame Noor University)
Hosseini, Seyed Kamel (Department of Mathematics Payame Noor University)
Park, Choonkil (Research Institute for Natural Sciences Hanyang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.1, 2020 , pp. 31-35 More about this Journal
Abstract
With the motivation to extend the Zelasko's theorem on commutative algebras, it was shown in [2] that if n ∈ {3, 4} is fixed, A, B are commutative algebras and h : A → B is an n-Jordan homomorphism, then h is an n-ring homomorphism. In this paper, we extend this result for all n ≥ 3.
Keywords
Banach algebra; n-Jordan homomorphism; n-ring homomorphism; n-homomorphism;
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