On skew field coproducts with a finite extension |
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Authors: | P. M. Cohn |
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Affiliation: | (1) Department of Mathematics, University College London, Gower Street, WC1E 6BT London, England |
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Abstract: | It is shown that the field coproduct of any skew fieldE with a binomial (commutative) field extensionF/k overk can be expressed as a cyclic extension of a skew fieldK (theE-socle), itself the field coproduct of [F:k] copies ofE overk. Qua vector space the coproduct may also be expressed as a tensor product ofE andK overk. To the memory of Shimshon Amitsur |
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