On generalized $(\sigma,\tau)$-derivations II

Nurcan Arga\c{c}; Hulya G. Inceboz

doi:10.4134/JKMS.2010.47.3.495

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J. Korean Math. Soc. 2010; 47(3): 495-504

Printed May 1, 2010

https://doi.org/10.4134/JKMS.2010.47.3.495

On generalized $(\sigma,\tau)$-derivations II

Nurcan Arga\c{c} and Hulya G. Inceboz

Ege University and Adnan Menderes University

Abstract

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Abstract

This paper continues a line investigation in [1]. Let $A$ be a $K$-algebra and $M$ an $A/K$-bimodule. In [5] Hamaguchi gave a necessary and sufficient condition for $gDer(A,M)$ to be isomorphic to $BDer(A,M)$. The main aim of this paper is to establish similar relationships for generalized $(\sigma,\tau)$-derivations.

Keywords: derivation, Lie derivation, exact sequence

MSC numbers: 16W25