Results 21 to 30 of about 998 (166)
Aplikasi quasigroup encryption untuk mengamankan soal ujian [PDF]
, 2017 This research discusses application of quasigroup in the field of cryptography. A quasigroup operation is defined so that it can form a cryptographic algorithm called a cipher quasigroup.
Khudzaifah, Muhammad
core +4 more sources
Documenta Mathematica, 2022 Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two related simple quasigroup structures, in which the split octonion multiplication is replaced with multiplication ...
Smith, Jonathan D. H. +1 more
openaire +2 more sources
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
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
[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 universal quasigroup identities [PDF]
, 1992 summary:The paper deals with quasigroup identities under isotopies. The terminology is taken from [2], [3] and [4]. Stimulated by geometric illustrations, V. D.
Brožíková, Elena
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A Duality Theorem for Hopf Quasimodule Algebras
Mathematics, 2023 In this paper, we introduce and study two smash products A★H for a left H-quasimodule algebra A over a Hopf quasigroup H over a field K and B#U for a coquasi U-module algebra B over a Hopf coquasigroup U, respectively. Then, we prove our duality theorem (
Huaiwen Guo, Shuanhong Wang
doaj +1 more source
Vectors and transfers in hexagonal quasigroup [PDF]
, 2007 Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study vectors, sum of vectors and transfers. The main result is the theorem on isomorphism between the group of vectors, group of transfers and the ...
Bombardelli, Mea +3 more
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A geometric approach to universal quasigroup identities [PDF]
, 1993 summary:In the present paper we construct the accompanying identity $\hat{I}$ of a given quasigroup identity $I$. After that we deduce the main result: $I$ is isotopically invariant (i.e., for every guasigroup $Q$ it holds that if $I$ is satisfied in $Q$
Havel, V. J.
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