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On q-Galois Extensions of Simple Rings

Published online by Cambridge University Press:  22 January 2016

Hisao Tominaga
Hisao Tominaga*
Affiliation:
Department of Mathematics, Hokkaido University
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In 1952, the late Professor T. Nakayama succeeded in constructing the Galois theory for finite dimensional simple ring extensions [7]. And, we believe, the theory was essentially due to the following proposition: If a simple ring A is Galois and finite over a simple subring B then A is B′-A-completely reducible for any simple intermediate ring B′ of A/B [7, Lemmas 1.1 and 1.2]. Moreover, as was established in [5], Nakayama’s idea was still efficient in considering the infinite dimensional Galois theory of simple rings.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 485 - 507
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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