Results 61 to 70 of about 1,397 (124)

Greedy quasigroups and greedy algebras with applications to combinatorial games

, 2007
Greedy quasigroups and Wythoff Quasigroups arose out of a desire to better understand certain combinatorial games. Greedy and Wythoff quasigroups have remarkable algebraic properties.
Rice, Theodore Allen, Rice, Theodore
core   +1 more source

Quasigroups in cryptology [PDF]

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

Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Many real‐world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the understanding of complex systems and their dynamics.
Muhammad Nadeem, Sharafat Ali, Md. Ashraful Alam, Qing-Wen Wang   +3 more
wiley   +1 more source

Matched pairs of m-invertible hopf quasigroups

, 2020
The matched pair theory (of groups) is studied for a class of quasigroups; namely, the m-inverse property loops. The theory is upgraded to the Hopf level, and the m-invertible Hopf quasigroups are introduced.Publisher's ...
Hassanzadeh, Mohammad, Sütlü, Serkan Selçuk   +1 more
core  

Finite automata over magmas: models and some applications in Cryptography [PDF]

Computer Science Journal of Moldova, 2018
In the paper the families of finite semi-automata and reversible finite Mealy and Moore automata over finite magmas are defined and analyzed in detail.
Volodymyr V. Skobelev, Volodymyr G. Skobelev   +1 more
doaj  

Napoleon’s quasigroups

, 2011
Napoleon’s quasigroups are idempotent medial quasigroups satisfying the identity (ab·b)(b·ba) = b. In works by V. Volenec geometric terminology has been introduced in medial quasigroups, enabling proofs of many theorems of plane geometry to be carried ...
Vedran Krčadinac
core   +1 more source

Blattner–Montgomery’s Duality-Type Theorem for Hopf Coquasigroups

Mathematics
In this paper, we mainly prove an analogue of Blattner–Montgomery’s duality-type theorem (A⋊H)#H^≅A⊗(H#H^) in the setting of an infinite-dimensional Hopf quasigroup H with a left integral, where A⋊H is the smash product for a left H-quasimodule algebra A.
Huaiwen Guo, Shuanhong Wang
doaj   +1 more source

A Study of Q-Neutrosophic Soft Quasigroups and Their Application to Medical Decisions

Neutrosophic Sets and Systems
In this paper, we investigate the algebraic structure of Q-neutrosophic soft quasigroups as an extension of Q-neutrosophic soft sets to non-associative systems. We establish several fundamental properties of these structures. In particular, we prove that
Benard Osoba, Temıtope Gbolahan Jaıyeola, Yakub Tunde Oyebo, Oluwatobi Balogun, Oluwasayo Peter Abodunrin, Oludare Johnson Olaleye   +5 more
doaj   +1 more source

On methods of constructing AD-quasigroups

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
We research T-quasigroups with AD identity and Schweitzer identity. The necessary and sufficient condition has been determined that in the T-quasigroup G of the form x • y=ϕ(x)+ψ(y), AD identity and the Schweitzer identity are true.
Liubomir Chiriac, Natalia Josu, Natalia Lupashco   +2 more
doaj   +1 more source

Multivariate Quadratic Equations in Public-key Cryptography

Безопасность информационных технологий, 2013
The work is dedicated to appliances of multivariate quadratic equations in modern public-key cryptography. The existing cryptosystems are reviewed, pointing out their pros and contras.
Andrey Valerievich Zhatkin
doaj