Results 1 to 10 of about 397,907 (160)

Simple Subrings of Algebras Over Fields [PDF]

open access: bronzeProceedings 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
  +5 more sources

Algebraic complexities and algebraic curves over finite fields [PDF]

open access: bronzeJournal 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]

open access: bronzeProceedings of the American Mathematical Society, 1956
A. S. Amitsur
openalex   +3 more sources

A Study on Neutrosophic Algebra [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

Lie algebras of differentiations of linear algebras over a field

open access: yesДифференциальная 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
doaj   +1 more source

Differentiation of linear algebras with a unit over a field

open access: yesДифференциальная геометрия многообразий фигур, 2023
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
doaj   +1 more source

Schneider-Teitelbaum duality for locally profinite groups [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2021
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
doaj   +1 more source

A class of continuous non-associative algebras arising from algebraic groups including $E_8$

open access: yesForum of Mathematics, Sigma, 2021
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
doaj   +1 more source

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