Results 21 to 30 of about 115,744,936 (297)
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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SYMMETRIC ALGEBRAS OVER RINGS AND FIELDS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractConnections between annihilators and ideals in Frobenius and symmetric algebras are used to provide a new proof of a result of Nakayama on quotient algebras, and an application is given to central symmetric algebras.
Craven, Thomas, Smith, Tara
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Linear Algebra and Smarandache Linear Algebra [PDF]
, 2003 The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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On the derivations of Leibniz algebras of low dimension
Доповiдi Нацiональної академiї наук України, 2023 Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko +2 more
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On the Lie structure of locally matrix algebras
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations ...
O. Bezushchak
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Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
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M-Hazy Vector Spaces over M-Hazy Field
Mathematics, 2021 The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M-hazy vector spaces
Faisal Mehmood, Fu-Gui Shi
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Algebraic complexities and algebraic curves over finite fields [PDF]
Journal of Complexity, 1987 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].
David V. Chudnovsky +1 more
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ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS [PDF]
International Journal of Algebra and Computation, 2013 We study the nilpotency degree of a relatively free finitely generated associative algebra with the identity xn = 0 over a finite field 𝔽 with q elements. In the case of q ≥ n the nilpotency degree is proven to be the same as in the case of an infinite field of the same characteristic.
Artem A. Lopatin, Ivan P. Shestakov
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A Verified Algebra for Linked Data
, 2011 A foundation is investigated for the application of loosely structured data on the Web. This area is often referred to as Linked Data, due to the use of URIs in data to establish links.
Horne, Ross, Sassone, Vladimiro
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