AN ACTION OF A GALOIS GROUP ON A TENSOR PRODUCT

2005

Yoon-Sung Hwang

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

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