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http://dx.doi.org/10.7468/jksmeb.2017.24.2.99

APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED  

Shin, Dong Yun (Department of Mathematics, University of Seoul)
Lee, Jung Rye (Department of Mathematics, Daejin University)
Seo, Jeong Pil (Ohsang High School)
Publication Information
The Pure and Applied Mathematics / v.24, no.2, 2017 , pp. 99-107 More about this Journal
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;
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Times Cited By KSCI : 1  (Citation Analysis)
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