MODULE LEFT (m, n)-DERIVATIONS
MODULE LEFT (m, n)-DERIVATIONS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 24(1), 33-34, https://doi.org/10.7468/jksmeb.2017.24.1.33
Abstract
$Fo{\check{s}}ner$ [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 $m{\neq}n$.
- keywords
-
normed algebra,
Banach left A-module,
module left (m,
n)-derivation