Results 21 to 30 of about 61,116 (180)

On the Kantor product, II

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
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
doaj   +1 more source

Product associativity in scator algebras and the quantum wave function collapse

open access: yesUniversal Journal of Mathematics and Applications, 2018
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
doaj   +1 more source

Combinatorial Hopf algebras from renormalization [PDF]

open access: yes, 2009
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
core   +9 more sources

Non-commutative finite associative algebras of 2-dimensional vectors [PDF]

open access: yesComputer Science Journal of Moldova, 2017
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
doaj  

Experimental identification of the organization of mental calculations of the person on the basis of algebras of different associativity [PDF]

open access: yesКомпьютерные исследования и моделирование, 2019
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
doaj   +1 more source

An elementary linear-algebraic proof without computer-aided arguments for the group law on elliptic curves

open access: yesInternational Journal of Mathematics for Industry, 2021
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
doaj   +1 more source

On the structure of axial algebras [PDF]

open access: yes, 2019
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
core   +4 more sources

A non-associative quantum mechanics

open access: yes, 2005
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
core   +2 more sources

Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics [PDF]

open access: yes, 2014
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
core   +3 more sources

Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras

open access: yesWasit Journal of Computer and Mathematics Science, 2022
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
doaj   +1 more source

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