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On the generalized derivations of bimodules |
Hiroaki KOMATSU( ) |
| Faculty of Computer Science and Systems Engineering, Okayama Prefectural University, Soja, 719-1197, Japan |
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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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Generalized derivation
separable algebra extension
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Corresponding Author(s):
Hiroaki KOMATSU
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Issue Date: 17 November 2016
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Brěsar M. On the distance of the composition of two derivations to the generalized derivations. Glasg Math J, 1991, 33: 89–93
https://doi.org/10.1017/S0017089500008077
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Komatsu H. Generalized derivations of bimodules. Int J Pure Appl Math, 2012, 77: 579–593
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Miyashita Y. Finite outer Galois theory of non-commutative rings. J Fac Sci Hokkaido Univ Ser I, 1966, 19: 114–134
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