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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.23 No.4

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GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

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
2016, v.23 no.4, pp.385-387
https://doi.org/10.7468/jksmeb.2016.23.4.385
Lee, Sung Jin
Lee, Jung Rye
Lee,, S. J. , & Lee,, J. R. (2016). GENERALIZED MODULE LEFT (m, n)-DERIVATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(4), 385-387, https://doi.org/10.7468/jksmeb.2016.23.4.385

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

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

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