On the generalized derivations of bimodules

Abstract

Recently, we introduced the notion of a generalized derivation from a bimodule to a bimodule. In this paper, we give a more general notion based on commutators which covers generalized derivations as a special case. Using it, we show that the separability of an algebra extension is characterized by generalized derivations.

Keywords

Generalized derivation / separable algebra extension

References

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2016 Higher Education Press and Springer-Verlag Berlin Heidelberg