[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2016.23.4.385

GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

Lee, Sung Jin (Department of Mathematics, Daejin University)
Lee, Jung Rye (Department of Mathematics, Daejin University)

Publication Information

The Pure and Applied Mathematics / v.23, no.4, 2016 , pp. 385-387 More about this Journal

Abstract

$Fo{\check{s}}ner$ [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 $m{\neq}n$ .

Keywords

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

Citations & Related Records

Reference

1	A. Fosner: On the generalized Hyers-Ulam stability of module left (m; n)-derivations. Aequationes Math. 84 (2012), 91-98. DOI
2	A. Fosner: Hyers-Ulam-Rassias stability of generalized module left (m; n)-derivations. J. Inequal. Appl. 2013, Art. ID 2013:208 (2013).
3	H.X. Cao, J.R. Lv & J.M. Rassias: Superstability for generalized module left derivations and generalized module derivations on a Banach module. J. Inequal. Appl. 2009, Art. ID 718020 (2009).
4	Y. Cui & D. Shin: Module left (m; n)-derivations (preprint).