Results 81 to 90 of about 149 (98)
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An Example in Central Division Algebras
1988Given r, n two relatively prime integers, and m be the minimal integer such that r m ≡ 1 (mod n). We construct, for each s = r t , (t, m) = 1 a central division algebra A S of dimension m 2 over a field of rational function K(X) in a commutative indeterminate X, and K a finite extension of the rationals Q.
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Journal of Algebra and Its Applications, 2012
In this paper, we prove that the rings of quaternions and of octonions over an arbitrary real closed field are algebraically closed in the sense of Eilenberg and Niven. As a consequence, we infer that some reasonable algebraic closure conditions, including the one of Eilenberg and Niven, are equivalent on the class of centrally finite alternative ...
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In this paper, we prove that the rings of quaternions and of octonions over an arbitrary real closed field are algebraically closed in the sense of Eilenberg and Niven. As a consequence, we infer that some reasonable algebraic closure conditions, including the one of Eilenberg and Niven, are equivalent on the class of centrally finite alternative ...
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On units of central division algebras over algebraic number fields
2011Der erste Teil meiner Diplomarbeit beschäftigt sich mit algebraischen Zahlkörpern. Um mehr über den Zahlkörper zu erfahren, betrachtet man seine Vervollständigungen bezüglich seiner inäquivalenten Bewertungen gleichzeitig. Die geeignete Methode hierfür sind die Adele und Idele.
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A Decomposition Theorem for CK1of Central Simple Algebras
Communications in Algebra, 2006Roozbeh Hazrat
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Division composition algebras through their derivation algebras
Journal of Algebra, 2006JOSÉ M Pérez-Izquierdo
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Hyperbolic Weyl groups and the four normed division algebras
Journal of Algebra, 2009Alex J Feingold +2 more
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Space-time block codes from nonassociative division algebras
Advances in Mathematics of Communications, 2011S Pumplün, Thomas Unger
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The centers of generic division algebras with involution
Israel Journal of Mathematics, 1988Allan Berele +2 more
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Subfields of Nondegenerate Tame Semiramified Division Algebras
Communications in Algebra, 2011Karim Mounirh
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