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Simple Algebras over a Commutative Ring

Published online by Cambridge University Press:  22 January 2016

Akira Hattori
Akira Hattori*
Affiliation:
Tokyo University of Education
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In a previous paper [4], we studied a class of algebras over a commutative ring R which we called semisimple algebras. Here we shall study simple algebras.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966, pp. 611 - 616
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Auslander, M. and Goldman, O., Maximal orders, Trans. Amer. Math. Soc, 97 (1960), 1–24.CrossRefGoogle Scholar
[2] Auslander, M. and Goldman, O., The Brauer group of a commutative ring, Trans. Amer. Math. Soc, 97 (1960), 367–409.CrossRefGoogle Scholar
[3] Cartan, H. and Eilenberg, S., Homological algebra, Princeton, 1956.Google Scholar
[4] Hattori, A., Semisimple algebras over a commutative ring, J. Math. Soc. Japan, 15 (1963), 404–419.CrossRefGoogle Scholar
[5] Kanzaki, T., On commutor rings and Galois theory of separable algebras, Osaka J. Math., 1 (1964), 103–115.Google Scholar
[6] Zariski, O. and Samuel, P., Commutative algebra, II, Princeton, 1960.CrossRefGoogle Scholar