Stability of \(n\)-bi-Jordan Homomorphisms on Commutative Algebras
DOI:
https://doi.org/10.26713/cma.v9i2.697Keywords:
bi-additive, \(n\)-bi-homomorphism, \(n\)-bi-Jordan homomorphismAbstract
In this paper, we prove that every \(n\)-bi-Jordan homomorphism between commutative algebras is an \(n\)-bi-ring homomorphism, and then we employ this result to show that to each approximate \(n\)-bi-Jordan homomorphism \(\varphi\) between commutative Banach algebras there corresponds a unique \(n\)-bi-ring homomorphism near to \(\varphi\).
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