Results 51 to 60 of about 3,162,927 (375)
Classification of five-dimensional nilpotent Jordan algebras [PDF]
Linear Algebra and Its Applications (2016), pp. 165-218, 2014 The paper is devoted to classify nilpotent Jordan algebras of dimension up to five over an algebraically closed field of characteristic not 2. We obtained a list of 35 isolated non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras and 6 families of non-isomorphic 5-dimensional nilpotent non-associative Jordan algebras depending either ...
arxiv +1 more source
p-Algebras over an algebraic function field over a perfect field
Journal of Algebra, 1986 Let K be a field of characteristic p > 0. Suppose that K is an algebraic function field of r variables over a perfect field. We shall consider the structure of p-algebras over K. When r = 1, Albert proved that every p-algebra is, in fact, a cyclic algebra and the exponent is equal to the index [a].
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On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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Lattices of Annihilators in Commutative Algebras Over Fields
Demonstratio Mathematica, 2015 Let K be any field and L be any lattice. In this note we show that L is a sublattice of annihilators in an associative and commutative K-algebra. If L is finite, then our algebra will be finite dimensional over K.
Jastrzebska M., Krempa J.
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Unicity for representations of the Kauffman bracket skein algebra [PDF]
Inventiones Mathematicae, 2017 This paper resolves the unicity conjecture of Bonahon and Wong for the Kauffman bracket skein algebras of all oriented finite type surfaces at all roots of unity.
C. Frohman +2 more
semanticscholar +1 more source
Division algebras over Henselian fields
Journal of Algebra, 1990 In this chapter we focus on the tame division algebras D with center a field F with Henselian valuation v. As usual, we approach this by first obtaining results for graded division algebras, then lifting back from \(\operatorname {\mathsf {gr}}(D)\) to D.
Bill Jacob, Adrian R. Wadsworth
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Theorem on the norm of elements of spinor groups
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 In this article we consider Clifford's algebra over the field of real numbers of finite dimension. We define the operation of Hermitian conjugation for the elements of Clifford's algebra.
D. S. Shirokov
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Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages [PDF]
TOMS, 2006 In the past two decades, some major efforts have been made to reduce exact (e.g. integer, rational, polynomial) linear algebra problems to matrix multiplication in order to provide algorithms with optimal asymptotic complexity.
J. Dumas, Pascal Giorgi, Clément Pernet
semanticscholar +1 more source
An elementary approach to the model structure on DG-Lie algebras [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2023 This paper contains an elementary proof of the existence of the classical model structure on the category of unbounded DG-Lie algebras over a field of characteristic zero, with an emphasis on the properties of free and semifree extensions, which are ...
Emma Lepri
doaj
On the polynomial identities of the algebra $M_{11}(E)$
, 2013 Verbally prime algebras are important in PI theory. They were described by Kemer over a field $K$ of characteristic zero: 0 and $K$ (the trivial ones), $M_n(K)$, $M_n(E)$, $M_{ab}(E)$.
Azevedo +23 more
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