Results 31 to 40 of about 4,967 (212)
On the number of n-ary quasigroups of finite order [PDF]
, 2012 Let $Q(n,k)$ be the number of $n$-ary quasigroups of order $k$. We derive a recurrent formula for Q(n,4). We prove that for all $n\geq 2$ and $k\geq 5$ the following inequalities hold: $({k-3}/2)^{n/2}(\frac{k-1}2)^{n/2} < log_2 Q(n,k) \leq {c_k(k-2)^{n}}
Krotov, Denis, Potapov, Vladimir
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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
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
[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
wiley +1 more source
Construction of Mutually Orthogonal Graph Squares Using Novel Product Techniques
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Sets of mutually orthogonal Latin squares prescribe the order in which to apply different treatments in designing an experiment to permit effective statistical analysis of results, they encode the incidence structure of finite geometries, they encapsulate the structure of finite groups and more general algebraic objects known as quasigroups, and they ...
A. El-Mesady +2 more
wiley +1 more source
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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Isotopic Properties of Neutrosophic Soft Quasigroup and Its Application in Decision-making [PDF]
Neutrosophic Sets and SystemsA Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences.
Benard Osoba +6 more
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Schroder T-quasigroups of generalized associativity
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 We prolong research of Schroder quasigroups and Schr ¨ oder T-quasigroups ¨ [14].
Victor Shcherbacov
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Parastrophic invariance of Smarandache quasigroups [PDF]
, 2006 The study of the Smarandache concept in groupoids was initiated by W.B. Vasantha Kandasamy in [18]. In her book and first paper on Smarandache concept in loops, she defined a Smarandache loop as a loop with at least a subloop which forms a subgroup ...
Gbolahan, Temitope
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