APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, University of Seoul)
Lee, Jung Rye (Department of Mathematics, Daejin University)
Seo, Jeong Pil (Ohsang High School)

Shin, Dong Yun, Lee, Jung Rye, & Seo, Jeong Pil. (2017). APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED. 한국수학교육학회지시리즈B:순수및응용수학, 24(2), 99-107, https://doi.org/10.7468/jksmeb.2017.24.2.99

복사

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

바로가기메뉴

논문 상세

Vol.24 No.2

APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED

APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED

Abstract

한국수학교육학회지시리즈B:순수및응용수학