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ISSN : 1226-0657

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Vol.24 No.2

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APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2017, v.24 no.2, pp.99-107
https://doi.org/10.7468/jksmeb.2017.24.2.99
Shin, Dong Yun
Lee, Jung Rye
Seo, Jeong Pil
Shin,, D. Y. , Lee,, J. R. , & Seo,, J. P. (2017). APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 24(2), 99-107, https://doi.org/10.7468/jksmeb.2017.24.2.99

Abstract

Shokri et al. [14] proved the Hyers-Ulam stability of bihomomorphisms and biderivations by using the direct method. It is easy to show that the definition of biderivations on normed 3-Lie algebras is meaningless and so the results of [14] are meaningless. In this paper, we correct the definition of biderivations and the statements of the results in [14], and prove the corrected theorems.

keywords
Hyers-Ulam stability, bi-additive mapping, Lie triple system, biderivation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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