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The Centers of Semi-Simple Algebras Over a Commutative Ring, II

Published online by Cambridge University Press:  22 January 2016

Shizuo Endo  and
Yutaka Watanabe
Shizuo Endo
Affiliation:
Tokyo University of Education, Osaka University
Yutaka Watanabe
Affiliation:
Tokyo University of Education, Osaka University
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In this note we assume that all rings have identities and denote by R a commutative ring. All R-algebras considered are assumed to be finitely generated faithful R-modules. An R-algebra Λ is said to be semi-simple ([5]), if any finitely ‘generated Λ-module is (Λ, R)-projective.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 1 - 6
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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[3] Endo, S. and Watanabe, Y., The centers of semi-simple algebras over a commutative ring, Nagoya Math. J., 30 (1967), 285–293.Google Scholar
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