Results 51 to 60 of about 1,397 (124)
Density of maximal nonassociativity in quadratic nearfields
Journal of Computational AlgebraA quasigroup (Q,⋅) is called maximally nonassociative if for all (x,y,z)∈Q3, the equality (x⋅y)⋅z=x⋅(y⋅z) implies that x=y=z. We follow up on the 2020 article “Maximal nonassociativity via nearfields” by Drápal and Lisoněk, in which the authors first ...
Martina Lehká
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How Nonassociative Geometry Describes a Discrete Spacetime
Frontiers in Physics, 2019 Nonassociative geometry, providing a unified description of discrete and continuum spaces, is a valuable candidate for the study of discrete models of spacetime. Within the framework of nonassociative geometry we propose a model of emergent spacetime. In
Alexander I. Nesterov, Héctor Mata
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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles
Mathematics, 2021 The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle of Hadamard matrices over Latin rectangles and the pseudococycle of Hadamard matrices over quasigroups.
Raúl M. Falcón +4 more
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Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
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Leveraging Nonassociative Algebra for Spectral Analysis of Anomalies in IoT
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The constantly changing characteristics of distributed networks and Internet of Things and additionally their susceptibility to anomalies render maintaining security and resilience complicated. This research provides a spectral‐based anomaly detection framework connected with nonassociative algebra, inverse property quasigroup.
Faizah D. Alanazi, Chong Lin
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Smarandache mukti-squares [PDF]
, 2007 We have introduced Smarandache quasigroups which are Smarandache non-associative structures. A quasigroup is a groupoid whose composition table is a Latin square.
Muktibodh, Arun S.
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An encryption algorithm using a generalization of the Markovski algorithm and T-quasigroups
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiHere is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of orthogonal ...
Nadezhda Malyutina, Victor Shcherbacov
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Newton da Costa and the school of Curitiba
Manuscrito, 2011 This paper intends to report on the beginning of the publications of Newton da Costa outside Brazil. Two mathematicians played an important role in this beginning: Marcel Guillaume from the University of Clermont-Ferrand and Paul Dedecker from the ...
Artibano Micali
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Inverse Spectrum and Structure of Topological Metagroups
MathematicsIn this article, a structure of topological metagroups is scrutinized. Their inverse spectra are studied. This also permits us to construct abundant families of topological metagroups and quasigroups.
Sergey Victor Ludkowski
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Row‐Hamiltonian Latin squares and Falconer varieties
Proceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.Abstract A Latin square is a matrix of symbols such that each symbol occurs exactly once in each row and column. A Latin square L$L$ is row‐Hamiltonian if the permutation induced by each pair of distinct rows of L$L$ is a full cycle permutation. Row‐Hamiltonian Latin squares are equivalent to perfect 1‐factorisations of complete bipartite graphs.
Jack Allsop, Ian M. Wanless
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