Results 21 to 30 of about 4,836 (268)

On the genus of a division algebra

Comptes Rendus. Mathématique, 2012
We define the genus gen ( D ) of a finite-dimensional central division algebra D over a field
Chernousov, Vladimir I., Rapinchuk, Andrei S., Rapinchuk, Igor A.   +2 more
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Real Gel'fand-Mazur division algebras

International Journal of Mathematics and Mathematical Sciences, 2003
We show that the complexification (A˜,τ˜) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly ...
Mati Abel, Olga Panova
doaj   +1 more source

Indecomposable Division Algebras [PDF]

Proceedings of the American Mathematical Society, 1992
We present a direct construction of indecomposable division algebras of all indices p n
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Admissible groups, symmetric factor sets, and simple algebras

International Journal of Mathematics and Mathematical Sciences, 1984
Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
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On Gelfand-Mazur theorem on a class of F-algebras

Topological Algebra and its Applications, 2014
A topological algebra A is said to be fundamental if there exists b > 1 such that for every sequence(xn) in A, (xn) is Cauchy whenever the sequence bn(xn − xn-1) tends to zero as n → ∞.
Anjidani E.
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Dixon-Rosenfeld lines and the Standard Model

European Physical Journal C: Particles and Fields, 2023
We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $$\mathbb {C}\otimes \mathbb {H}\otimes \mathbb {O}$$ C ⊗ H ⊗ O .
David Chester, Alessio Marrani, Daniele Corradetti, Raymond Aschheim, Klee Irwin   +4 more
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Plactic key agreement (insecure?)

Journal of Mathematical Cryptology, 2023
Plactic key agreement is a new type of cryptographic key agreement that uses Knuth’s multiplication of semistandard tableaux from combinatorial algebra.
Brown Daniel R. L.
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Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra

Physical Review Physics Education Research, 2019
Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations.
Emily M. Smith, Justyna P. Zwolak, Corinne A. Manogue   +2 more
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Recognition of division algebras

Journal of Algebra, 2009
Let \(A\) be a finite-dimensional simple (associative) algebra over the field \(\mathbb{Q}\) of rational numbers. By an order of \(A\), we mean a subring \(R\) of \(A\), which contains the unit of \(A\) and forms a lattice in \(A\) (viewed as a vector space over \(\mathbb{Q}\)).
Nebe, Gabriele, Steel, Allan
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Nicely semiramified division algebras over Henselian fields

International Journal of Mathematics and Mathematical Sciences, 2005
This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal ...
Karim Mounirh
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