Results 81 to 90 of about 2,017 (174)

On free quasigroups and quasigroup representations

, 2018
This work consists of three parts. The discussion begins with \emph{linear quasigroups}. For a unital ring $S$, an $S$-linear quasigroup is a unital $S$-module, with automorphisms $\rho$ and $\lambda$ giving a (nonassociative) multiplication $x\cdot y=x^\rho+y^\lambda$. If $S$ is the field of complex numbers, then ordinary characters provide a complete
openaire   +3 more sources

Isotopy of abelian quasigroups [PDF]

Proceedings of the American Mathematical Society, 1977
It is proved that every abelian quasigroup possesses a class of isomorphic principal isotopes which are commutative groups. Also it is indicated how the corresponding result for topological quasigroups can be utilised to obtain results for abelian topological quasigroups from analogous results for commutative topological groups.
openaire   +1 more source

On a special class of multivariate quadratic quasigroups (MQQs)

Journal of Mathematical Cryptology, 2013
In this paper, we study a special class of recently introduced quasigroups called multivariate quadratic quasigroups (MQQs) and solve several open research problems about them. Our main contributions are threefold. The first is to provide a standard form
Chen Yanling, Gligoroski Danilo, Knapskog Svein J.   +2 more
doaj   +1 more source

A message recovery attack on multivariate polynomial trapdoor function. [PDF]

PeerJ Comput Sci, 2023
Ali R, Hussain MM, Kanwal S, Hajjej F, Inam S.   +4 more
europepmc   +1 more source

On a “grouplike” family of quasigroups

Examples and Counterexamples
Quasigroups 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
doaj   +1 more source

On Commutative Quasigroup

, 2014
Commutative quasigroups are quasigroups satisfying \(xy=yx\). We construct an infinite family of commutative quasigroup whose smallest member is of order \(4\).
Amir Khan, M. Shah, Asif Ali, Faiz Muhammad   +3 more
semanticscholar   +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

Un paseo por los anillos de bucles

Revista Integración, 2012
La teoría de anillos de bucles no es solamente una generalización de los anillos de grupos: es una teoría en sí misma, con origen y aún en movimiento. El concepto de anillo de bucles surge en 1944 en los trabajos de R.H.
Carmen Rosa Giraldo Vergara
doaj  

Automorphisms of Some Magmas of Order $k+k^2$

Известия Иркутского государственного университета: Серия "Математика", 2018
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj   +1 more source

On Multiplication Groups of Quasigroups

European Journal of Combinatorics, 1984
The author shows that all finite dihedral, symmetric, alternating, general linear and projective general linear groups and the Mathieu- groups \(M_{11}\) and \(M_{23}\) have the following property: they are isomorphic to multiplication groups of quasigroups.
openaire   +2 more sources