Results 51 to 60 of about 998 (166)

Cryptographic Primitives with Quasigroup Transformations [PDF]

open access: yes, 2010
The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition.
Mileva, Aleksandra
core   +4 more sources

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

open access: yesComplexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi   +6 more
wiley   +1 more source

Quasigroups in cryptology [PDF]

open access: yesComputer Science Journal of Moldova, 2009
We give a review of some known published applications of quasigroups in cryptology.
V.A. Shcherbacov
doaj  

On groupoids with Bol-Moufang type identities [PDF]

open access: yesComputer Science Journal of Moldova, 2020
We present results about groupoids of small order with Bol-Moufang type identities both classical and non-classical which are listed in [7], [9].
Grigorii Horosh   +3 more
doaj  

Topological Sequences Connected With Inverse Graphs of Finite Flexible Weak Inverse Property Quasigroups: An Approach From Polynomials to Machine Learning

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning. They indicate feature significance, nonlinear interactions, and error dynamics.
Faizah D. Alanazi, Theodore Simos
wiley   +1 more source

A Quasigroup Approach for Conservation Laws in Asymptotically Flat Spacetimes

open access: yesUniverse
In the framework of the quasigroup approach to conservation laws in general relativity, we show how the infinite-parametric Newman–Unti group of asymptotic symmetries can be reduced to the Poincaré quasigroup. We compute Noether’s charges associated with
Alfonso Zack Robles   +2 more
doaj   +1 more source

ARH - quasigroups

open access: yesMathematical Communications, 2011
In this paper, the concept of an ARH--quasigroup is introduced and identities valid in that quasigroup are studied. The geometrical concept of an affine--regular heptagon is defined in a general ARH--quasigroup and geometrical representation in the quasigroup $\mathbb{C}(2 \cos \frac{\pi}{7})$ is given.
Volenec, Vladimir   +2 more
openaire   +4 more sources

Moufang Quasigroups

open access: yesJournal of Algebra, 1996
It is well known that the following four Moufang identities, M1: \((x(yz))x=(xy)(zx)\) and N1: \(((xy)z)y=x(y(zy))\) and their respective mirrors M2 and N2 (obtained by writing them backwards), are equivalent in loops which are then called Moufang loops. The author now shows that every quasigroup satisfying any one of these four identities is a Moufang
openaire   +2 more sources

Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]

open access: yesNeutrosophic Sets and Systems
The novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba   +2 more
doaj   +1 more source

The structure of F-quasigroups

open access: yesJournal of Algebra, 2007
24 pages. v.2 incorporates minor changes suggested by the referee.
Kepka, Tomáš   +2 more
openaire   +2 more sources

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