On the stability of 3-Lie homomorphisms and 3-Lie derivations

Vahid Keshavarz; Sedigheh Jahedi; Shaghayegh Aslani; Jung Rye Lee; Choonkil Park

On the stability of 3-Lie homomorphisms and 3-Lie derivations

Authors

Vahid Keshavarz Department of Mathematics, Shiraz University of Technology, P. O. Box 71555-313, Shiraz, Iran https://orcid.org/0009-0005-3174-762X
Sedigheh Jahedi Department of Mathematics, Shiraz University of Technology, P. O. Box 71555-313, Shiraz, Iran https://orcid.org/0009-0005-3174-762X
Shaghayegh Aslani Department of Mathematics, Bonab University, P. O. Box 55517-61167, Bonab, Iran https://orcid.org/0009-0005-3174-762X
Jung Rye Lee Department of Mathematics, Daejin University, Kyunggi 11159, Korea https://orcid.org/0009-0005-3174-762X
Choonkil Park Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea https://orcid.org/0009-0005-3174-762X

Keywords:

Jensen functional equation, 3-Lie algebra, 3-Lie homomorphisms, 3-Lie derivation, HyersUlam stability.

Abstract

In this paper, we prove the Hyers-Ulam stability of 3-Lie homomorphisms in 3-Lie algebras for Cauchy-Jensen functional equation. We also prove the Hyers-Ulam stability of 3-Lie derivations on 3-Lie algebras for Cauchy-Jensen functional equation

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Published

2021-01-21

How to Cite

Vahid Keshavarz, Sedigheh Jahedi, Shaghayegh Aslani, Jung Rye Lee, & Choonkil Park. (2021). On the stability of 3-Lie homomorphisms and 3-Lie derivations. Journal of Computational Analysis and Applications (JoCAAA), 29(1), 129–135. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/136

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Vol. 29 No. 1 (2021): JOCAAA

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This work is licensed under a Creative Commons Attribution 4.0 International License.

On the stability of 3-Lie homomorphisms and 3-Lie derivations

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