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

ISSN : 1226-0657

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Vol.24 No.1

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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
2017, v.24 no.1, pp.33-34
https://doi.org/10.7468/jksmeb.2017.24.1.33
Cui, Yinhua
Shin, Dong Yun
Cui,, Y. , & Shin,, D. Y. (2017). MODULE LEFT (m, n)-DERIVATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 24(1), 33-34, https://doi.org/10.7468/jksmeb.2017.24.1.33

Abstract

<TEX>$Fo{\check{s}}ner$</TEX> [1] defined a module left (m, n)-derivation and proved the Hyers-Ulam stability of module left (m, n)-derivations. In this note, we prove that every module left (m, n)-derivation is trival if the algebra is unital and <TEX>$m{\neq}n$</TEX>.

keywords
normed algebra, Banach left A-module, module left (m, n)-derivation

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

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