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On skew field coproducts with a finite extension

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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.

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References

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Authors and Affiliations

  1. Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, England

    P. M. Cohn

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  1. P. M. Cohn
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Correspondence to P. M. Cohn.

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To the memory of Shimshon Amitsur

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Cohn, P.M. On skew field coproducts with a finite extension. Israel J. Math. 96, 223–230 (1996). https://doi.org/10.1007/BF02785539

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  • DOI: https://doi.org/10.1007/BF02785539

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