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On the Derivations in Maximal Orders of Simple Algebras

Published online by Cambridge University Press:  22 January 2016

Yûsaku Kawahara
Yûsaku Kawahara*
Affiliation:
Mathematical Institute, Nagoya University
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The theory of derivations and differents in the algebraic number fields or Dedekind rings has been developped by A. Weil [1], Y. Kawada [2] and M. Moriya [4]. Further Y. Kawada [3] has investigated the derivations in maximal orders of simple algebras over number fields. This note is concerned with the derivations in the simple algebras over fields which are quotient fields of Dedekind rings; the commutative rings in which the fundamental theorem of multiplicative ideal theory holds. The auther gives his hearty thanks to Prof. M. Moriya who gave him valuable remarks.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 9 , October 1955 , pp. 147 - 160
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1955

References

[1] Weil, A., Differentiation in algebraic number fields, Bull. Amer. Math. Soc., Vol. 49 (1943), p. 41.Google Scholar
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[4] Moriya, M., Theorie der Derivationen und Korperdifferenten, Mathematical Journal of Okayama University, Vol. 2 (1952–53), p. 111–148.Google Scholar
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