Results 1 to 10 of about 397,907 (160)
Simple Subrings of Algebras Over Fields [PDF]
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]
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
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Algebras over infinite fields [PDF]
A. S. Amitsur
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On the Triviality of Homogeneous Algebras over an Algebraically Closed Field [PDF]
Lowell Sweet
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A Study on Neutrosophic Algebra [PDF]
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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Lie algebras of differentiations of linear algebras over a field
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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Differentiation of linear algebras with a unit over a field
Linear algebras over a given field arise when studying various problems of algebra, analysis and geometry. The operation of differentiation, which originated in mathematical analysis, was transferred to the theory of linear algebras over a field, as well
A.Ya. Sultanov+2 more
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Schneider-Teitelbaum duality for locally profinite groups [PDF]
We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
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A class of continuous non-associative algebras arising from algebraic groups including $E_8$
We give a construction that takes a simple linear algebraic group G over a field and produces a commutative, unital, and simple non-associative algebra A over that field.
Maurice Chayet, Skip Garibaldi
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