Associative Algebra;
Division Algebra;
Zero Divisor;
Quaternion Algebra;
Central Simple Algebra;
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摘要:
Nonassociative quaternion algebras were first discovered over the real numbers independently by Dickson and Albert and provided some of the first examples of nonassociative division algebras. They were later classified completely by Waterhouse.
机构:
Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
Lomonosov Moscow State Univ, Moscow 119991, RussiaMoscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
Zaicev, M. V.
Repovs, D. D.
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机构:
Univ Ljubljana, Ljubljana 1000, Slovenia
Inst Math Phys & Mech, Ljubljana 1000, SloveniaMoscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
机构:
Bar Ilan Univ, Dept Math, Ramat Gan, Israel
Lomonosov Moscow State Univ, Fac Algebra, Dept Mech & Math, Moscow, Russia
Moscow Ctr Fundamental & Appl Math, Moscow, RussiaBar Ilan Univ, Dept Math, Ramat Gan, Israel
Guterman, Alexander
Kudryavtsev, Dmitry
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机构:
Univ Manchester, Sch Math, Manchester, England
Univ Manchester, Sch Math, Manchester M13 9PL, EnglandBar Ilan Univ, Dept Math, Ramat Gan, Israel