Results 21 to 30 of about 4,967 (212)
Identities and generalized derivatives of quasigroups [PDF]
Computer Science Journal of Moldova, 2022 We associate a partial (autostrophical) identity with every generalized derivative. We research when a quasigroup that satisfies an autostrophic identity has a unit (left or/and right or/and middle).
G. Horosh +3 more
doaj +1 more source
Graph decomposition and quasigroup identities
Le Matematiche, 1990 See directly the article.
Curt Lindner
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A new quasigroup isomorphism invariant arising from fractal image patterns
Quasigroups And Related Systems, 2023 The analysis and recognition of fractal image patterns derived from Cayley tables has turned out to play a relevant role for distributing distinct types of algebraic and combinatorial structures into isomorphism classes.
Raúl M. Falcón
semanticscholar +1 more source
Documenta Mathematica, 2022 Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two related simple quasigroup structures, in which the split octonion multiplication is replaced with multiplication ...
Smith, Jonathan D. H. +1 more
openaire +2 more sources
Order of Finite Soft Quasigroups with Application to Egalitarianism
Discussiones Mathematicae - General Algebra and Applications, 2022 In this work, a soft set (F, A) was introduced over a quasigroup (Q,) and the study of finite soft quasigroup was carried out, motivated by the study of algebraic structures of soft sets.
Oyem A., Jaiyéọlá T.G., Olaleru J.O.
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Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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A Hybrid Cryptosystem based on Latin Square and the Modified BB84 Quantum Key Distribution
Tikrit Journal of Pure Science, 2022 A new algorithm to improve the security of the transmitted data over the communication channels is presented in this paper. This algorithm is combining Latin square with the modified version of the BB84 Quantum Key Distribution protocol. As the order of
Hamza B. Habib +2 more
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A Novel Quasigroup Substitution Scheme for Chaos Based Image Encryption [PDF]
Journal of Applied Nonlinear Dynamics, 2017 A During last two decades, there has been a prolific growth in the chaos based image encryption algorithms. Up to an extent these algorithms have been able to provide an alternative to exchange large media files (images and videos) over the networks in a
Vinod Patidar, N. K. Pareek, G. Purohit
semanticscholar +1 more source
Cycles of quadratic Latin squares and antiperfect 1‐factorisations
Journal of Combinatorial Designs, Volume 31, Issue 9, Page 447-475, September 2023., 2023 Abstract A Latin square of order n $n$ is an n × n $n\times n$ matrix of n $n$ symbols, such that each symbol occurs exactly once in each row and column. For an odd prime power q $q$ let F q ${{\mathbb{F}}}_{q}$ denote the finite field of order q $q$.
Jack Allsop
wiley +1 more source
A New Graphical Representation of the Old Algebraic Structure
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world? With the use of algebraic approaches, we may now tackle a wide range of graph theory‐related problems.
Muhammad Nadeem +4 more
wiley +1 more source