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