Results 81 to 90 of about 2,856 (140)

Sub-quasigroups of finite quasigroups [PDF]

Pacific Journal of Mathematics, 1957
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Parastrophes of quasigroups

, 2015
Parastrophes (conjugates) of a quasigroup can be divided into separate classes containing isotopic parastrophes. We prove that the number of such classes is always 1, 2, 3 or 6. Next we characterize quasigroups having a fixed number of such classes.
openaire   +4 more sources

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

International Journal of Mathematics and Mathematical Sciences
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.
Faizah D. Alanazi
doaj   +1 more source

Varieties of Hexagonal Quasigroups

Journal of Algebra, 1993
The decomposition of a complete graph into disjoint cycles can be used to define a binary operation \(\star\) on the vertices of the graph -- if a cycle is \((\dots, a, b, c, \dots)\) then \(a \star b = c\) and \(c \star b = a\). In general the groupoid thus obtained is not a quasigroup, but when the decomposition satisfies an extra condition, known as
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A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa   +4 more
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An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields. [PDF]

Springerplus, 2016
Zhang Y, Zhang H.
europepmc   +1 more source

Abelian quasigroups and T-quasigroups

, 1994
By means of known results with respect to algebras of a congruence modular variety it is proved that abelian in the sense of McKenzie quasigroups, i.e. quasigroups coinciding with their centre, are T-quasigroups and conversely.
openaire   +1 more source

Mathematical aspects of molecular replacement. I. Algebraic properties of motion spaces. [PDF]

Acta Crystallogr A, 2011
Chirikjian GS.
europepmc   +1 more source

Homogeneous quasigroups [PDF]

Pacific Journal of Mathematics, 1964
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Topological Aspects of Quadratic Graphs and M-Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index.
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri   +4 more
doaj   +1 more source