Results 11 to 20 of about 3,220,446 (374)
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
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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
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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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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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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
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On the dimension of the product $[L_2,L_2,L_1]$ in free Lie algebras [PDF]
International Journal of Group Theory, 2018 Let $L$ be a free Lie algebra of rank $rgeq2$ over a field $F$ and let $L_n$ denote the degree $n$ homogeneous component of $L$. By using the dimensions of the corresponding homogeneous and fine homogeneous components of the second derived ideal of ...
Nil Mansuroğlu
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On numerical/non-numerical algebra: Semi-tensor product method
Mathematical Modelling and Control, 2021 A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng +3 more
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Structure of blocks with normal defect and abelian $p'$ inertial quotient
Forum of Mathematics, Sigma, 2023 Let k be an algebraically closed field of prime characteristic p. Let $kGe$ be a block of a group algebra of a finite group G, with normal defect group P and abelian $p'$ inertial quotient L.
David Benson +2 more
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