MODULE LEFT (m, n)-DERIVATIONS
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
2017, v.24 no.1, pp.33-34
https://doi.org/10.7468/jksmeb.2017.24.1.33
Cui, Yinhua
(Department of Mathematics, Yanbian University)
Shin, Dong Yun
(Department of Mathematics, University of Seoul)
Cui, Yinhua,
&
Shin, Dong Yun.
(2017). MODULE LEFT (m, n)-DERIVATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 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