Results 11 to 20 of about 158,268 (326)
Generalised quadratic forms and the u-invariant [PDF]
, 2017 The u-invariant of a field is the supremum of the dimensions of anisotropic quadratic forms over the field. We define corresponding u-invariants for hermitian and generalised quadratic forms over a division algebra with involution in characteristic 2 and
Dolphin, Andrew
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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
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A Combinatorial Discussion on Finite Dimensional Leavitt Path Algebras [PDF]
, 2012 Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings.
Esin, Songul +7 more
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On maximal immediate extensions of valued division algebras [PDF]
, 2003 We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division ...
Banaschewski B. +13 more
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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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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 +4 more
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Enveloping algebras of Malcev algebras [PDF]
, 2010 We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both ...
Bremner, Murray R. +4 more
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Correspondences Between Valued Division Algebras and Graded Division Algebras
Journal of Algebra, 1999 Let \(D\) be a finite-dimensional central division algebra over a field \(F\) with a Henselian valuation \(v_F\). The valuation \(v_F\) extends to a (Schilling) valuation \(v_D\) on \(D\), and there is an associated graded ring \(GD=\bigoplus_{\gamma\in\Gamma_D}GD_\gamma\), where \(\Gamma_D\) is the value group of \(v_D\) and, for \(\gamma\in\Gamma_D\),
Hwang, Y.-S, Wadsworth, A.R
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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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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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