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Mathematical Communications, Vol. 15 No. 1, 2010.

Original scientific paper

A trick for investigation of approximate derivations

Madjid Eshaghi Gordji ; Department of Mathematics, Semnan University, Semnan, Iran
Mohammad Sal Moslehian ; Department of Mathematics, Centre of Excellence in Analysis on Algebraic, Structures, Ferdowsi University of Mashhad, Mashhad, Iran

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Abstract

We utilize the notion of module extension to reduce the problem of
stability of derivations to that of ring homomorphisms studied by R.
Badora in the context of Banach bimodules over Banach algebras.

Keywords

Hyers-Ulam stability; derivation; ring homomorphism; Banach algebra; Banach module; module extension

Hrčak ID:

53211

URI

https://hrcak.srce.hr/53211

Publication date:

10.6.2010.

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