Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-23T23:58:39.073Z Has data issue: false hasContentIssue false
  • English
  • Français

On a Crossed Product of a Division Ring

Published online by Cambridge University Press:  22 January 2016

Nobuo Nobusawa
Nobuo Nobusawa*
Affiliation:
University of Hawaii
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

1. Let R and C be a ring and its center, and G an automorphism group of R of order n. By a factor set {cα,τ}, we mean a system of regular elements cα,τ (α,τ ∈ G) in C such that

(1)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 35 , July 1969 , pp. 47 - 51
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1969

References

[1] Jacobson, N., Structure of rings. A.M.S. (1956).Google Scholar
[2] Kasch, F., Über den Endomorphismenring eines Vectorraums und der Satz von der Normalbasen. Math. Ann. 126 (1953) 447–463.CrossRefGoogle Scholar
[3] Kishimoto, K., Onodera, T. and Tominaga, H., On the normal basis theorems and the extension dimension. J. Fac. Scie. Hokkaido Univ. Ser. 1, 18 (1964) 81–88.Google Scholar
[4] Nobusawa, N. and Tominaga, H., Some remarks on strictly Galois extensions of simple rings. Math. J. Okayama Univ. 9 (1959/60) 13–17.Google Scholar
[5] Roquette, P., On the Galois cohomology of the projective groups and its applications. Math. Ann. 150 (1963) 411–439.CrossRefGoogle Scholar
[6] Schilling, O.F.G., The theory of valuations. New York (1950).CrossRefGoogle Scholar