Results 61 to 70 of about 3,309 (193)
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
wiley +1 more source
Quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2009 We give a review of some known published applications of quasigroups in cryptology.
V.A. Shcherbacov
doaj
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning. They indicate feature significance, nonlinear interactions, and error dynamics.
Faizah D. Alanazi, Theodore Simos
wiley +1 more source
A Quasigroup Approach for Conservation Laws in Asymptotically Flat Spacetimes
UniverseIn the framework of the quasigroup approach to conservation laws in general relativity, we show how the infinite-parametric Newman–Unti group of asymptotic symmetries can be reduced to the Poincaré quasigroup. We compute Noether’s charges associated with
Alfonso Zack Robles +2 more
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Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups
Mathematics, 2022 Let H be a crossed group-cograded Hopf quasigroup. We first introduce the notion of p-Yetter–Drinfeld quasimodule over H. If the antipode of H is bijective, we show that the category YDQ(H) of Yetter–Drinfeld quasimodules over H is a crossed category ...
Huili Liu, Tao Yang, Lingli Zhu
doaj +1 more source
Mathematical Communications, 2011 In this paper, the concept of an ARH--quasigroup is introduced and identities valid in that quasigroup are studied. The geometrical concept of an affine--regular heptagon is defined in a general ARH--quasigroup and geometrical representation in the quasigroup $\mathbb{C}(2 \cos \frac{\pi}{7})$ is given.
Volenec, Vladimir +2 more
openaire +4 more sources
Characters of Finite Quasigroups
European Journal of Combinatorics, 1984 In this paper the authors study some of the basics of a character theory for finite non-empty quasigroups, generalizing the traditional ordinary character theory for groups. The authors present the relevant notions from quasigroup theory (the multiplication group, quasigroup conjugacy classes, and the space of class functions) which enable one to apply
Kenneth W. Johnson, Jonathan D. H. Smith
openaire +2 more sources
Dynamical Yang-Baxter Maps with an Invariance Condition
, 2007 By means of left quasigroups L=(L, .) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (.) satisfying an invariance condition that the binary operation (.) of the left quasigroup L defines.
Shibukawa, Youichi
core +2 more sources
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
wiley +1 more source
Quasigroups, Braided Hopf (Co)quasigroups and Radford’s Biproducts of Quasi-Diagonal Type
MathematicsGiven the Yetter–Drinfeld category over any quasigroup and a braided Hopf coquasigroup in this category, we first mainly study the Radford’s biproduct corresponding to this braided Hopf coquasigroup.
Yue Gu, Shuanhong Wang
doaj +1 more source