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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An imbedding theorem for separable algebras


Author: Takasi Nagahara
Journal: Proc. Amer. Math. Soc. 41 (1973), 399-402
MSC: Primary 13B05
MathSciNet review: 0323775
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Abstract: Let $ S/R$ be a ring extension, where $ S$ is a commutative ring. If $ S/R$ is strongly separable then it can be imbedded in a weakly Galois extension of $ R$ in the sense of [7, Definition 3.1].


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0323775-2
PII: S 0002-9939(1973)0323775-2
Keywords: Separable algebra, Galois, weakly Galois, imbedding
Article copyright: © Copyright 1973 American Mathematical Society