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  • Springer  (2)
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  • Springer  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Reciprocity laws for algebras over function fields (1975)
    Springer
    Mathematical notes 17 (1975), S. 244-246 
    Details
    ISSN: 1573-8876
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A study is made of simple central algebras over an algebraic function field of one variable with a number field of constants. It is proved that there exists an algebra with a given collection of local invariants satisfying the reciprocity law under the assumption that the orders of the invariants are odd or the field of constants is purely imaginary.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01149014
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  • 2
    Electronic Resource
    Electronic Resource
    Generalized Sperner lemma and subdivisions into simplices of equal volume (1998)
    Springer
    Journal of mathematical sciences 91 (1998), S. 3492-3498 
    Details
    ISSN: 1573-8795
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A generalization of the well-known Sperner lemma is suggested, which covers the case of arbitrary subdivisions of (convex) polyhedra into (convex) polyhedra. It is used for giving a new proof of the Thomas-Monsky-Mead theorem saying that the n-cube can be subdivided into N simplices of equal volume if and only if N is divisible by n!. Some new related results are announced. Bibliography: 6 titles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02434927
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