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On the generalized derivations of bimodules

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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.

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Authors and Affiliations

  1. Faculty of Computer Science and Systems Engineering, Okayama Prefectural University, Soja, 719-1197, Japan

    Hiroaki Komatsu

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  1. Hiroaki Komatsu
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Correspondence to Hiroaki Komatsu.

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Komatsu, H. On the generalized derivations of bimodules. Front. Math. China 12, 135–142 (2017). https://doi.org/10.1007/s11464-016-0585-0

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

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