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  1. 1. A Theorem of Wedderburn and Applications

    Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Författare :Dennis Wiklund; [2016]
    Nyckelord :abstract algebra; rings; division rings; fields; alternative rings; Wedderburn; Artin; Zorn; Jacobson; Mathematics and Statistics;

    Sammanfattning : The main focus of this thesis is Wedderburn's theorem that a finite division ring is a field. We present two proofs of this. The thesis also contains a proof of a theorem of Jacobson and a proof of a generalisation by Artin and Zorn that a finite alternative ring is associative, and therefore a field.. LÄS MER