The Journal of the Indian Mathematical Society

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The Construction of Valuations on Skew Fields


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1 University College London, Gower Street, London WCIE 6BT, United Kingdom
     

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In commutative field theory valuations play an essential role in studying divisibility relaticms in subrings. For skew fields the role of valuations is much less clear; in fact, beyond the definition and some examples, given by Schilling in 1945 (cf. 122]) not much was known about them until recently.
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  • The Construction of Valuations on Skew Fields

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Authors

P. M. Cohn
University College London, Gower Street, London WCIE 6BT, United Kingdom

Abstract


In commutative field theory valuations play an essential role in studying divisibility relaticms in subrings. For skew fields the role of valuations is much less clear; in fact, beyond the definition and some examples, given by Schilling in 1945 (cf. 122]) not much was known about them until recently.