Results 11 to 20 of about 998 (166)

Affine Fullerene C60 in a GS-Quasigroup [PDF]

Journal of Applied Mathematics, 2014
It will be shown that the affine fullerene C60, which is defined as an affine image of buckminsterfullerene C60, can be obtained only by means of the golden section.
Vladimir Volenec, Zdenka Kolar-Begović, Ružica Kolar-Šuper   +2 more
doaj   +2 more sources

Leveraging Nonassociative Algebra for Spectral Analysis of Anomalies in IoT

Journal of Applied Mathematics
The 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
doaj   +2 more sources

Polynomial Representations of Weak Inverse Property Quasigroups and Their Role in Cryptographic Primitives

Journal of Mathematics
A 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, Muhammad Nadeem, Muhammad Kamran, Nwazish Ali, Abdu Qaid Alameri   +4 more
doaj   +2 more sources

On Birkhoff's quasigroup axioms

Journal of Algebra, 2016
Quasigroups form a variety only if two additional operations, namely \(/\) and \(\backslash\) are considered. Birkhoff formulated six identities that define equationally the variety of quasigroups. Evans proved that only the most natural four identities are needed.
Phillips, J. D., Pushkashu, D. I., Shcherbacov, A. V., Shcherbacov, V. A.   +3 more
openaire   +3 more sources

Chromatic Polynomials and Cryptographic Hashing on WIP-Quasigroup Structures

Journal of Mathematics
Cryptographic hash functions are indispensable for today’s information security because they secure data integrity, authentication and encrypted storage.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Komiljon Mustafoyev, Samuel Asefa Fufa   +4 more
doaj   +2 more sources

FOUNDATIONS OF QUASIGROUPS. [PDF]

Proc Natl Acad Sci U S A, 1956
Stein SK.
europepmc   +5 more sources

Topological Aspects of Quadratic Graphs and M-Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics
Material 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, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri   +4 more
doaj   +2 more sources

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa   +4 more
doaj   +2 more sources

P$\wp$N functions, complete mappings and quasigroup difference sets [PDF]

, 2022
We investigate pairs of permutations $F,G$ of $\mathbb{F}_{p^n}$ such that $F(x+a)-G(x)$ is a permutation for every $a\in\mathbb{F}_{p^n}$. We show that necessarily $G(x) = \wp(F(x))$ for some complete mapping $-\wp$ of $\mathbb{F}_{p^n}$, and call the ...
Meidl, Wilfried, Riera, Constanza, Stanica, Pantelimon, Kalyci, Tekgul, Anbar Meidl, Nurdagül, Nurdagül Anbar, Wilfried Meidl, Anbar, Nurdagul, Tekgül Kalaycı, Constanza Riera, Pantelimon Stănică, Kalaycı, Tekgül   +11 more
core   +2 more sources

Quasigroup covers of division groupoids [PDF]

, 2023
summary:Let $G$ be a division groupoid that is not a quasigroup. For each regular cardinal $\alpha>|G|$ we construct a quasigroup $Q$ on $G\times\alpha$ that is a quasigroup cover of $G$ (i.e., $G$ is a homomorphic image of $Q$ and $G$ is not an image of
Ježek, Jaroslav J., Kepka, Tomáš J., Němec, Petr C.   +2 more
core   +1 more source