Results 21 to 30 of about 61,116 (180)
We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [J. Algebra Appl. 2017, 16 (9), 1750167].
R. Fehlberg Júnior, I. Kaygorodov
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Product associativity in scator algebras and the quantum wave function collapse
The scator product in $1+n$ dimensions for $n>1$, is associative if all possible product pairs have a non vanishing additive scalar component. The product is in general, not associative in the additive representation whenever the additive scalar ...
Manuel Fernandez-guasti
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Combinatorial Hopf algebras from renormalization [PDF]
In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of renormalization in quantum field theory: the non-commutative version of the Fa\`a di Bruno Hopf algebra, the non-commutative version
Alessandra Frabetti +15 more
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Non-commutative finite associative algebras of 2-dimensional vectors [PDF]
In this paper properties of the non-commutative finite associative algebra of two-dimensional vectors are presented. Interesting features of algebra are mutual associativity of all modifications of the defined parameterized multiplication operation and ...
Alexander Moldovyan +2 more
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Experimental identification of the organization of mental calculations of the person on the basis of algebras of different associativity [PDF]
The work continues research on the ability of a person to improve the productivity of information processing, using parallel work or improving the performance of analyzers.
A. V. Koganov +2 more
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The group structure on the rational points of elliptic curves plays several important roles, in mathematics and recently also in other areas such as cryptography.
Koji Nuida
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On the structure of axial algebras [PDF]
Axial algebras are a recently introduced class of non-associative algebra motivated by applications to groups and vertex-operator algebras. We develop the structure theory of axial algebras focussing on two major topics: (1) radical and simplicity; and ...
Khasraw, Sanhan +2 more
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A non-associative quantum mechanics
A non-associative quantum mechanics is proposed in which the product of three and more operators can be non-associative one. The multiplication rules of the octonions define the multiplication rules of the corresponding operators with quantum corrections.
A. I. Nesterov +9 more
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Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics [PDF]
We analyse the symmetries underlying nonassociative deformations of geometry in non-geometric R-flux compactifications which arise via T-duality from closed strings with constant geometric fluxes. Starting from the non-abelian Lie algebra of translations
Alekseevsky D. +5 more
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Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras
Let be an associative algebra over a field F of any characteristic with involution * and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
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