GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2016, v.23 no.4, pp.385-387

https://doi.org/10.7468/jksmeb.2016.23.4.385

Lee, Sung Jin (Department of Mathematics, Daejin University)
Lee, Jung Rye (Department of Mathematics, Daejin University)

Lee, Sung Jin, & Lee, Jung Rye. (2016). GENERALIZED MODULE LEFT (m, n)-DERIVATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 23(4), 385-387, https://doi.org/10.7468/jksmeb.2016.23.4.385

복사

Abstract

<TEX>$Fo{\check{s}}ner$</TEX> [4] defined a generalized module left (m, n)-derivation and proved the Hyers-Ulam stability of generalized module left (m, n)-derivations. In this note, we prove that every generalized module left (m, n)-derivation is trival if the algebra is unital and <TEX>$m{\neq}n$</TEX>.

keywords: Hyers-Ulam stability, normed algebra, Banach left A-module, generalized module left (m, n)-derivation

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Vol.23 No.4

GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

Abstract

한국수학교육학회지시리즈B:순수및응용수학