Results 11 to 20 of about 3,309 (193)
Leveraging Nonassociative Algebra for Spectral Analysis of Anomalies in IoT
Journal of Applied MathematicsThe constantly changing characteristics of distributed networks and Internet of Things and additionally their susceptibility to anomalies render maintaining security and resilience complicated.
Faizah D. Alanazi
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Journal of MathematicsA connection between cryptography and polynomial functions is extremely significant. Mathematical performance of polynomials helps to enhance the cryptographic primitives, which are trustworthy as well as straightforward representation tools, in everyday
Mohammad Mazyad Hazzazi +4 more
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Topological Aspects of Quadratic Graphs and M-Polynomials Utilizing Classes of Finite Quasigroups
Journal of MathematicsMaterial science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index.
Mohammad Mazyad Hazzazi +4 more
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Journal of Function SpacesNonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography.
Mohammad Mazyad Hazzazi +4 more
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On a “grouplike” family of quasigroups
Examples and CounterexamplesQuasigroups are algebraic structures in which divisibility is always defined. This paper illustrates some similarities and differences between quasigroup theory and group theory, by singling out a special family of quasigroups which seem to be most ...
Ahmed Al Fares, Gizem Karaali
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The Burnside algebra of a quasigroup
Journal of Algebra, 2004 In this paper the author extends the Burnside algebra concept from groups to quasigroups. Given a subquasigroup \(P\) of a finite quasigroup \(Q\), the elements of the corresponding homogeneous space \(P\setminus Q\) are the orbits on \(Q\) of the relative left multiplication group of \(P\) in \(Q\).
Jonathan Smith; Jdh Smith; Jonathan Dh Smith
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Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]
Neutrosophic Sets and Systems, 2023 The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub +2 more
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, 2001 A groupoid \((Q,\cdot)\) is a \(B\)-algebra if for all \(x,y,z\in Q\) there hold \(xx=0\), \(x0=x\), \((xy)z = x(z(0y))\), where \(0\) is some fixed element of \(Q\). It is proved that such an algebra is a quasigroup.
Jung R. Cho, Hee Sik Kim
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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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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
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