Results 31 to 40 of about 397,907 (160)

ON NILALGEBRAS OVER INFINITE FIELD WITH SOLVABLE ASSOCIATED GROUP

Наука и техника, 2006
It is proved that if an associated group A* of a nilalgebra A over an infinite field is solvable of class n then algebra A is solvable of the same class n as the Lie algebra.
M. B. Smirnov
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A standard form in (some) free fields: How to construct minimal linear representations

Open Mathematics, 2020
We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
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Quaternion algebras over global fields [PDF]

, 2021
To motivate the classification of quaternion algebras over \(\mathbb Q \), we consider by analogy a classification of quadratic fields. We restrict to the following class of quadratic fields for the best analogy.
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Open-closed field algebras

, 2007
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically
B. Bakalov, G. Felder, H.S. Li, H.S. Li, H.S. Li, J. Cardy, J. Fjelstad, J. Fuchs, J. Fuchs, J. Fuchs, J. Fuchs, J. Fuchs, J. Fuchs, J. Fuchs, J.L. Cardy, J.L. Cardy, J.L. Cardy, J.L. Cardy, L. Kong, Liang Kong, M. Kontsevich, P. Etingof, P. Hu, V. Ostrik, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang, Y.-Z. Huang   +33 more
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Embeddings of fields into simple algebras over global fields [PDF]

Asian Journal of Mathematics, 2014
Let $F$ be a global field, $A$ a central simple algebra over $F$ and $K$ a finite (separable or not) field extension of $F$ with degree $[K:F]$ dividing the degree of $A$ over $F$. An embedding of $K$ in $A$ over $F$ exists implies an embedding exists locally everywhere. In this paper we give detailed discussions when the converse (i.e.
Shih, Sheng-Chi, Yang, Tse-Chung, Yu, Chia-Fu   +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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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 фигур
In 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 , O. A. Monakhova, O. V. Bolotnikova   +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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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.
Dmitry S Shirokov
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