Results 21 to 30 of about 1,878 (148)
On recursively differentiable k-quasigroups
Academia de Stiinte a Republicii Moldova. Buletinul. Matematica, 2023 Recursive differentiability of linear $k$-quasigroups $(k\geq 2)$ is studied in the present work. A $k$-quasigroup is recursively $r$-differentiable (r is a natural number) if its recursive derivatives of order up to $r$ are quasigroup operations.
Parascovia Sirbu, Elena Cuznetov
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Translatable isotopes of translatable quasigroups
Quasigroups And Related Systems, 2023 We determine the structure of translatable isotopes of translatable quasigroups. Necessary and sufficient conditions are found for a bijection between two such isotopes to be an isomorphism.
W. Dudek, R. Monzo
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Superconnected left quasigroups and involutory quandles [PDF]
Communications in Algebra, 2021 In this paper we study the classes of superconnected and superfaithful left quasigroups, that are relevant in the study of Mal’cev varieties of left quasigroups. Then we focus on quandles and in particular to the involutory ones.
M. Bonatto
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Fast Decoding of Images With Cryptcodes for Burst Channels
IEEE Access, 2023 The concept of cryptcoding arises from the need to obtain secure and accurate transmission. This has led to an intensive development of coding theory and cryptography as scientific fields dealing with these problems.
Aleksandra Popovska-Mitrovikj +2 more
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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
One-Sided Quantum Quasigroups and Loops
Demonstratio Mathematica, 2015 Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual.
Smith J. D. H.
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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
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
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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
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