Results 1 to 10 of about 3,162,828 (276)
Semiassociative algebras over a field [PDF]
Journal of Algebra, 2023 An associative central simple algebra is a form of matrices, because a maximal étale subalgebra acts on the algebra faithfully by left and right multiplication. In an attempt to extract and isolate the full potential of this point of view, we study nonassociative algebras whose nucleus contains an étale subalgebra bi-acting faithfully on the algebra ...
Guy Blachar +4 more
semanticscholar +3 more sources
Lie algebras of differentiations of linear algebras over a field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov +2 more
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Open-closed field algebras [PDF]
Commun. Math. Phys. 280, 207-261 (2008), 2006 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 gives an algebra over a $\C$-extension of the Swiss-cheese partial operad.
B. Bakalov +33 more
arxiv +4 more sources
Connected Hopf Algebras of Dimension $p^2$ [PDF]
J. Algebra 391(2013) 93-113, 2012 Let $H$ be a finite-dimensional connected Hopf algebra over an algebraically closed field $\field$ of characteristic $p>0$. We provide the algebra structure of the associated graded Hopf algebra $\gr H$. Then, we study the case when $H$ is generated by a Hopf subalgebra $K$ and another element and the case when $H$ is cocommutative.
Andruskiewitsch +15 more
arxiv +3 more sources
Simple Subrings of Algebras Over Fields [PDF]
Proceedings of the American Mathematical Society, 1981 In this note we shall prove that if A is a not necessarily associative algebra over a field K and S is a simple subring of A with centroid F then dim/r R < dimjf A. Since we do not use polynomial identities in a proof of this result then we have obtained an affirmative answer to the 11th question from (2), posed by I. N. Herstein.
Jan Krempa
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Algebraic complexities and algebraic curves over finite fields [PDF]
Journal of Complexity, 1988 We consider the problem of minimal (multiplicative) complexity of polynomial multiplication and multiplication in finite extensions of fields. For infinite fields minimal complexities are known [Winograd, S. (1977) Math. Syst. Theory 10, 169-180].
D. V. Chudnovsky, G. V. Chudnovsky
openalex +5 more sources
Algebras over infinite fields [PDF]
Proceedings of the American Mathematical Society, 1956 A. S. Amitsur
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The Variety of Two-dimensional Algebras Over an Algebraically Closed Field [PDF]
Canadian Journal of Mathematics, 2017 The work is devoted to the variety of two-dimensional algebras over algebraically closed fields. First we classify such algebras modulo isomorphism.
I. Kaygorodov, Y. Volkov
semanticscholar +5 more sources
On the Triviality of Homogeneous Algebras over an Algebraically Closed Field [PDF]
Proceedings of the American Mathematical Society, 1975 Lowell Sweet
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A Study on Neutrosophic Algebra [PDF]
Neutrosophic Sets and Systems, 2022 The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is ...
T. Nagaiah +3 more
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