Stability of \(n\)-bi-Jordan Homomorphisms on Commutative Algebras

Authors

  • A. Zivari-Kazempour Department of Mathematics, Ayatollah Borujerdi University, Borujerd

DOI:

https://doi.org/10.26713/cma.v9i2.697

Keywords:

bi-additive, \(n\)-bi-homomorphism, \(n\)-bi-Jordan homomorphism

Abstract

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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References

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Published

30-06-2018
CITATION

How to Cite

Zivari-Kazempour, A. (2018). Stability of \(n\)-bi-Jordan Homomorphisms on Commutative Algebras. Communications in Mathematics and Applications, 9(2), 159–165. https://doi.org/10.26713/cma.v9i2.697

Issue

Section

Research Article