Results 21 to 30 of about 2,017 (174)

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, Imran Siddique, Md. Ashraful Alam, Waqas Ali, Xuanlong Ma   +4 more
wiley   +1 more source

The Hadamard multiary quasigroup product [PDF]

Banach Center Publications
The Hadamard quasigroup product has recently been introduced as a natural generalization of the classical Hadamard product of matrices. It is defined as the superposition operator of three binary operations, one of them being a quasigroup operation. This
Ra'ul M. Falc'on, L. Mella, Petr Vojtěchovský   +2 more
semanticscholar   +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, M. Nadeem, M. A. Ali, H. Mutee ur Rehman, Yuan Yi   +4 more
wiley   +1 more source

[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, Munir Ahmed, Muhammad Arshad, Waleed Almutiry, Rashad A. R. Bantan, Mohammed Elgarhy, Muhammad Gulzar   +6 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, Wadhah Abdulelah Hussein, Asmaa Kh. Abdul-Rahman   +2 more
doaj   +1 more source

On the enumeration and asymptotic growth of free quasigroup words [PDF]

International journal of algebra and computation, 2019
This paper counts the number of reduced quasigroup words of a particular length in a certain number of generators. Taking account of the relationship with the Catalan numbers, counting words in a free magma, we introduce the term peri-Catalan number for ...
Jonathan D. H. Smith, Stefanie G. Wang
semanticscholar   +1 more source

Isotopic Properties of Neutrosophic Soft Quasigroup and Its Application in Decision-making [PDF]

Neutrosophic Sets and Systems
A Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences.
Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan, Oyewole Oluwapamilerin, Adenibuyan Micheal Tokunbo, Oluwatobi Balogun, Adekola Lanrewaju Olumide   +6 more
doaj   +1 more source

Existence of an invariant measure on a topological quasigroup

, 2020
In this article left or right invariant measures and functionals on topological unital quasigroups are investigated. It is proved that if under rather general conditions a nontrivial left invariant measure exists on a Borel σ-algebra of a topological ...
S. Ludkovsky
semanticscholar   +1 more source

Study of Jordan quasigroups and their construction

Journal of Taibah University for Science, 2018
Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan, Muhammad Shah, Hidayat Ullah Khan, Gul Zaman   +3 more
doaj   +1 more source