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A short ordered commutative domain whose quotient field is not short - MaRDI portal

A short ordered commutative domain whose quotient field is not short (Q1099200)

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scientific article; zbMATH DE number 4039973
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English
A short ordered commutative domain whose quotient field is not short
scientific article; zbMATH DE number 4039973

    Statements

    A short ordered commutative domain whose quotient field is not short (English)
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    1988
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    A linearly ordered set is said to be short, if it does not contain a monotonic sequence of length \(\omega_ 1\). The author constructs a short ordered commutative domain whose quotient field is not short, thereby answering a question of C. Borregaard.
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    ordered ring
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    ordered field
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    short linearly ordered set
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    short ordered commutative domain
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    quotient field
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