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FOUNDATIONS OF QUASIGROUPS [PDF]

open access: yesProceedings of the National Academy of Sciences of the United States of America, 1956
Stein SK.
exaly   +6 more sources

Paths of Cultural Systems [PDF]

open access: yesEntropy, 2017
A theory of cultural structures predicts the objects observed by anthropologists. We here define those which use kinship relationships to define systems.
Paul Ballonoff
doaj   +2 more sources

Asymptotics for the number of n-quasigroups of order 4

open access: yesSiberian Mathematical Journal, 2006
The asymptotic form of the number of n-quasigroups of order 4 is $3^{n+1} 2^{2^n +1} (1+o(1))$.
D. S. Krotov   +4 more
exaly   +3 more sources

Schroder T-quasigroups of generalized associativity

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
We prolong research of Schroder quasigroups and Schr ¨ oder T-quasigroups ¨ [14].
Victor Shcherbacov
doaj   +1 more source

Soft Neutrosophic Quasigroups [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
This paper introduced and studied for the first time the object of neutrosophic quasigroup Q(Q,·) over a quasigroup (Q, ·). It was shown that the direct product of any two neutrosophic quasigroups is a neutrosophic quasigroup.
Anthony Oyem   +3 more
doaj   +3 more sources

Order of Finite Soft Quasigroups with Application to Egalitarianism

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this work, a soft set (F, A) was introduced over a quasigroup (Q,) and the study of finite soft quasigroup was carried out, motivated by the study of algebraic structures of soft sets.
Oyem A., Jaiyéọlá T.G., Olaleru J.O.
doaj   +1 more source

Topologies on Smashed Twisted Wreath Products of Metagroups

open access: yesAxioms, 2023
In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied.
Sergey Victor Ludkowski
doaj   +1 more source

One-Sided Quantum Quasigroups and Loops

open access: yesDemonstratio Mathematica, 2015
Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual.
Smith J. D. H.
doaj   +1 more source

Fast Decoding of Images With Cryptcodes for Burst Channels

open access: yesIEEE Access, 2023
The concept of cryptcoding arises from the need to obtain secure and accurate transmission. This has led to an intensive development of coding theory and cryptography as scientific fields dealing with these problems.
Aleksandra Popovska-Mitrovikj   +2 more
doaj   +1 more source

A Pair of Smarandachely Isotopic Quasigroups and Loops of the Same Variety [PDF]

open access: yes, 2008
The isotopic invariance or universality of types and varieties of quasigroups and loops described by one or more equivalent identities has been of interest to researchers in loop theory in the recent past.
Jaiyeola, Temitope Gbolahan
core   +2 more sources

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