Results 1 to 10 of about 1,859 (138)

Paths of Cultural Systems [PDF]

Entropy, 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

Okubo quasigroups

Documenta Mathematica, 2022
Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two related simple quasigroup structures, in which the split octonion multiplication is replaced with multiplication ...
Jonathan D. H. Smith, P. Vojtěchovský
semanticscholar   +3 more sources

Order of Finite Soft Quasigroups with Application to Egalitarianism

Discussiones 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   +2 more sources

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and ...
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie   +5 more
doaj   +2 more sources

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance-based, degree-distance-based, and degree-based topological indices.
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry   +3 more
doaj   +2 more sources

Holomorphism and Edge Labeling: An Inner Study of Latin Squares Associated with Antiautomorphic Inverse Property Moufang Quasigroups with Applications

Complexity
Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Ismail Naci Cangul, J. Akhter   +4 more
doaj   +2 more sources

Quasigroups, Braided Hopf (Co)quasigroups and Radford’s Biproducts of Quasi-Diagonal Type

Mathematics
Given the Yetter–Drinfeld category over any quasigroup and a braided Hopf coquasigroup in this category, we first mainly study the Radford’s biproduct corresponding to this braided Hopf coquasigroup.
Yue Gu, Shuanhong Wang
doaj   +2 more sources

FOUNDATIONS OF QUASIGROUPS. [PDF]

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

Soft Neutrosophic Quasigroups [PDF]

Neutrosophic 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, Temıtope. Gbolahan Jaiyeola, Johnson Olajire Olaleru, Benard Osoba   +3 more
doaj   +3 more sources

Schroder T-quasigroups of generalized associativity

Acta 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