Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra [PDF]
, 2007 S. V. Lüdkovsky
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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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Algebras over a Field and Semantics for Context-Based Reasoning [PDF]
, 2013 This paper introduces context algebras and demonstrates their application to combining logical and vector-based representations of meaning. Other approaches to this problem attempt to reproduce aspects of logical semantics within new frameworks. The approach we present here is different: We show how logical semantics can be embedded within a vector ...
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Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$ [PDF]
, 2010 Pierre Berthelot +2 more
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A Family of K3 Surfaces and Towers of Algebraic Curves over Finite Fields [PDF]
, 2019 Sergey Galkin, S. Rybakov
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Representability by certain norm forms over algebraic number fields [PDF]
, 1975 John Thomas Smith
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Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic [PDF]
, 2020 WonTae Hwang
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A cancellation theorem for projective modules over affine algebras over C1-fields
Journal of Pure and Applied Algebra, 2003 Let \(k\) be a \(C_1\)-field, that is for every homogeneous polynomial \(F(x_1,x_2,\dots, x_n)\) of the degree \(d< n\) the equation \(F(x_1,x_2,\dots, x_n)= 0\) has a nontrivial solution in \(k^n\). Assume that \(\text{char\,}k= 0\), \(A\) is an affine algebra over \(k\) of (Krull) dimension \(d>1\) and \(P\) is a finitely generated projective \(A ...
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Invariants de Witt des involutions de bas degré en caractéristique 2
Comptes Rendus. MathématiqueA $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$.
Tignol, Jean-Pierre
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Algebraic geometry over free metabelian lie algebras. II. Finite-field case [PDF]
, 2006 E. Yu. Daniyarova +2 more
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