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Embedding Ordered Valued Domains into Division Rings

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Abstract

We study some classes of ordered domains that are embeddable in division rings. We prove the ordered version of the Cohn–Lichtman embedding theorem for valued domains. A question of Glass is answered in the negative. Furthermore, we prove that universal enveloping algebras of Lie algebras over formally real fields can be embedded into ordered division rings.

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Authors and Affiliations

  1. Department of Mathematics, Institute for Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1111, Ljubljana, Slovenia

    Igor Klep

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  1. Igor Klep
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Correspondence to Igor Klep.

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The author acknowledges the financial support from the state budget by the Slovenian Research Agency (project no. Z1-9570-0101-06).

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Klep, I. Embedding Ordered Valued Domains into Division Rings. Algebr Represent Theor 10, 429–439 (2007). https://doi.org/10.1007/s10468-007-9062-5

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  • DOI: https://doi.org/10.1007/s10468-007-9062-5

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