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AN ACTION OF A GALOIS GROUP ON A TENSOR PRODUCT
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 Title & Authors
AN ACTION OF A GALOIS GROUP ON A TENSOR PRODUCT
Hwang, Yoon-Sung;
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 Abstract
Let K be a Galois extension of a field F with G = Gal(K/F). Let L be an extension of F such that with corresponding primitive idempotents , where Ni's are fields. Then G acts on transitively and . And, let R be a commutative F-algebra, and let P be a prime ideal of R. Let T = , and suppose there are only finitely many prime ideals of T with . Then G acts transitively on where qf() is the quotient field of .⠌㔀؀㘴ㄮ㔻᠀䡯浥‭⁦慭楬礠浡湡来浥湴
 Keywords
Galois extension;Tensor product;
 Language
English
 Cited by
 References
1.
A. Frohlich and M. J. Taylor, Algebraic Number Theory, Cambridge Univ. Press, Cambridge, 1991

2.
T. W. Hungerford, Algebra, Springer Verlag, New York, 1980