Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 1: 135 - 142

DOI: https://doi.org/10.1007/s11464-016-0585-0

RESEARCH ARTICLE

On the generalized derivations of bimodules

  • Hiroaki KOMATSU
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  • Faculty of Computer Science and Systems Engineering, Okayama Prefectural University, Soja, 719-1197, Japan

Received date: 29 Nov 2015

Accepted date: 21 Jan 2016

Published date: 01 Feb 2017

Copyright

2016 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Generalized derivation; separable algebra extension

Cite this article

Hiroaki KOMATSU . On the generalized derivations of bimodules[J]. Frontiers of Mathematics in China, 2017 , 12(1) : 135 -142 . DOI: 10.1007/s11464-016-0585-0

References

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