Representation rings of extensions of Hopf algebra of Kac-Paljutkin type by Dong Su, Shilin Yang

Subjects: “…$ \delta $-associative algebra…”
Get full text

On the Deformation Theory of Structure Constants for Associative Algebras by B. G. Konopelchenko

“…An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. …”
Get full text

On point-dissipative systems of differential equations with quadratic nonlinearity by Anile K. Bose, Alan S. Cover, James A. Reneke

Subjects: “…commutative but generally non-associative algebra.…”
Get full text

A novel method for developing post-quantum cryptoschemes and a practical signature algorithm by Nikolay Andreevich Moldovyan, Dmitriy Nikolaevich Moldovyan

Subjects: Get full text

Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays by Yongkun Li, Jianglian Xiang

“…Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity of the multiplication of Clifford numbers, we first decompose the considered Clifford-valued neural network into 2m2n real-valued systems. …”
Get full text

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions by Pavlos Kassotakis, Theodoros Kouloukas, Maciej Nieszporski

“…We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. …”
Get full text

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups by Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie

“…Nonassociative algebras, loop groups, and quasigroups are the generalizations of associative algebra. Many studies have focused on the spectral properties of simple graphs connected to associative algebras like finite groups and rings, but the same research direction remains unexplored for loop groups and quasigroups. …”
Get full text

A Novel Scheme for Construction of S-Box Using Action of Power Associative Loop and Its Applications in Text Encryption by Muhammad Asif, Sayeda Wajiha, Sameh Askar, Hijaz Ahmad

“…The conventional construction of substitution boxes (S-boxes) has long relied on associative algebras such as Galois fields and cyclic groups. …”
Get full text

Rota-Baxter Leibniz Algebras and Their Constructions by Liangyun Zhang, Linhan Li, Huihui Zheng

“…And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and discover some Rota-Baxter Leibniz algebras from augmented algebra, bialgebra, and weak Hopf algebra. …”
Get full text

Deformation Quantization of Nonassociative Algebras by Elisabeth Remm

“…We investigate formal deformations of certain classes of nonassociative algebras including classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="double-struck">K</mi><mo>[</mo><msub><mo>Σ</mo><mn>3</mn></msub><mo>]</mo></mrow></semantics></math></inline-formula>-associative algebras, Lie-admissible algebras and anti-associative algebras. …”
Get full text