Results 201 to 210 of about 7,352,836 (227)

Sets of lengths in maximal orders in central simple algebras.

J Algebra, 2013
Smertnig D.
europepmc   +1 more source

A universal scaling law for mitotic spindles across eukaryotes driven by chromosome crowding

Gudlin L, Vukušić K, Novak M, Trupinić M, Ljulj M, Dundović I, Petelinec A, Petrušić L, Hertel A, van Ravesteyn T, Trakala M, Kops GJPL, Storchová Z, Tambača J, Pavin N, Tolić IM.   +15 more
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Alternative algebras which are L-isomorphic to a central division Cayley-Dickson algebra of characteristic 2

, 1988
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On central division algebras

Israel Journal of Mathematics, 1972
For any integern such that 8|n or for which there exists an odd primeq such thatq 2|n, there is a central division algebra of dimensionn 2 over its center which is not a crossed product. The algebra constructed in this paper is the algebraQ(X 1,…,X)m, the algebra generated over the rationalQ bym(≧2) generic matrices.
S A Amitsur
exaly   +2 more sources

Division composition algebras through their derivation algebras [PDF]

Journal of Algebra, 2006
Composition algebras are algebras with a nondegenerate quadratic multiplicative form. In this paper we construct five families of division composition algebras and prove that any division composition algebra with nonabelian derivation algebra belongs to ...
José M Pérez-Izquierdo
exaly   +2 more sources

The double centralizer theorem for division algebras

Israel Journal of Mathematics, 1983
Die Autoren beweisen den folgenden Satz: Sei D ein Körper mit Zentrum F, \(T\in M_ n(D)\) algebraisch über F. Dann ist der Doppelzentralisator C(C(T)) von T in \(M_ n(D)\) gleich F[T]. Der Beweis geht wie im kommutativen Fall aus von dem Modul \({}_ RV\) über dem Hauptidealring \(R=D[X]\), wobei \({}_ DV\) ein Vektorraum der Dimension n ist und X wie ...
Armendariz, Efraim P., Park, Jae Keol
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Biquaternion division algebras and fourth power-central elements

Journal of Pure and Applied Algebra, 2022
This paper concerns the conditions under which a bi-quaternion algebra is a cyclic algebra (of degree 4) over its center. When \(F\) is a field of \(\operatorname{char}(F)=2\), it is known that every bi-quaternion algebra is a cyclic algebra [\textit{A. A. Albert}, Am. J. Math. 56, 75--86 (1934; Zbl 0008.24202)].
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An Example in Central Division Algebras

1988
Given 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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On units of central division algebras over algebraic number fields

2011
Der 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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