Results 51 to 60 of about 3,220,446 (374)
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
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
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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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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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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Gradings on Algebras over Algebraically Closed Fields [PDF]
, 2016 The classification, both up to isomorphism or up to equivalence, of the gradings on a finite dimensional nonassociative algebra A over an algebraically closed field F, such that its group scheme of automorphisms is smooth, is shown to be equivalent to the corresponding problem for the scalar extension A_K for any algebraically closed field extension K.
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Complete classification of two-dimensional associative and diassociative algebras over any basic field [PDF]
arXiv, 2023 A complete classifications, up to isomorphism, of two-dimensional associative and diassociative algebras over any basic field are given.
arxiv
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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SYMMETRIC ALGEBRAS OVER RINGS AND FIELDS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractConnections between annihilators and ideals in Frobenius and symmetric algebras are used to provide a new proof of a result of Nakayama on quotient algebras, and an application is given to central symmetric algebras.
Craven, Thomas, Smith, Tara
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