Results 21 to 30 of about 3,309 (193)
An Example of a Quasigroup with a Distributive Subquasigroup Lattice [PDF]
Results in Mathematics, 2010 Konrad Pióro
exaly +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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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
On angular momentum of gravitational radiation [PDF]
, 2003 The quasigroup approach to the conservation laws (Phys. Rev. D56, R7498 (1997)) is completed by imposing new gauge conditions for asymptotic symmetries.
Alexander I. Nesterov +20 more
core +1 more source
Some Algebraic Properties of the Wilson Loop
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this article, some algebraic properties of the Wilson loop have been investigated in a broad manner. These properties include identities, autotopisms, and implications. We use some equivalent conditions to study the behavior of holomorphism of this loop. Under the shadow of this holomorphism, we are able to observe coincident loops.
Han Li +4 more
wiley +1 more source
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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[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan +6 more
wiley +1 more source
On Characterization of Graphs Structures Connected with Some Algebraic Properties
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we have characterized graph structures connected with some algebraic properties. Also, this paper is actually the concatenation of graph theory and algebra. We have introduced left and right inverse graphs of antiautomorphic inverse property loops.
Rongbing Huang +5 more
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