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On formally real division algebras and quasifields of finite rank - MaRDI portal

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On formally real division algebras and quasifields of finite rank (Q1385220)

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scientific article; zbMATH DE number 1146251
Language Label Description Also known as
English
On formally real division algebras and quasifields of finite rank
scientific article; zbMATH DE number 1146251

    Statements

    title
    On formally real division algebras and quasifields of finite rank (English)
    0 references
    author
    Franz B. Kalhoff
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    publication date
    21 June 1998
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    review text
    It is shown, in contrast to the case of ordered associative proper algebras, that there exist proper formally real quasifields and even proper formally real division algebras of finite dimension over their kernels. In fact examples of such structures are given of dimension \(n\) for each natural number \(n\), where \(n>1\).
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    zbMATH Keywords
    finite rank
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    proper formally real quasifields
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    proper formally real division algebras
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    reviewed by
    W. Kerby
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    Identifiers

    DOI
    10.1007/BF01237497
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    Mathematics Subject Classification ID
    12K99
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    17A35
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    51G05
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    12J15
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    zbMATH DE Number
    1146251
    0 references
     
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