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On the Completion of Real Valued Ternary Fields

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Abstract

The complete hull of a real valued ternary field can canonically be endowed with a ternary operation, such that it becomes a ternary field with a uniform valuation. Any real valued ternary field (N, v, Γ0) has a maximal dense extension, which is complete and uniquely determined up to an isometric N-isomorphism. Therefore, any discretely valued ternary field (N, v, ℤ−∞) has a maximal immediate extension, which is spherically complete and uniquely determined up to an isometric N-isomorphism.

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Authors and Affiliations

  1. Erwin Schörner, Mathematisches Institut der Universität München, Theresienstraße 39, D-80333, München

    Erwin Schörner

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  1. Erwin Schörner
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Correspondence to Erwin Schörner.

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Schörner, E. On the Completion of Real Valued Ternary Fields. Results. Math. 38, 339–347 (2000). https://doi.org/10.1007/BF03322015

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