Results 31 to 40 of about 1,397 (124)
The Napoleon-Barlotti theorem in pentagonal quasigroups [PDF]
, 2016 Pentagonal quasigroups are IM-quasigroups in which the additional identity (ab · a) b · a=b holds. GS-quasigroups are IM-quasigroups in which the identity a(ab · c) · c=b holds. The relation between these two subclasses of IM-quasigroups is studied.
Vidak, Stipe
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Quadratical quasigroups and Mendelsohn designs [PDF]
, 2022 Let the product of points A and B be the vertex C of the right isosceles triangle for which AB is the base, and ABC is oriented anticlockwise. This yields a quasigroup that satisfies laws (xu) (vy) = (xv)(uy), (xy)(yx) = y and xx = x.
Griggs, Terry S. +5 more
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Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]
Neutrosophic Sets and Systems, 2023 The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub +2 more
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Some algebraic properties of soft quasigroups
, 2021 Soft set theory, instituted by Molodsov is a robust mathematical tool for dealing with uncertainties and problems that are questionably defined. Our aim in this paper is to broaden soft theory by studying some new algebraic operations (product and ...
Olaleru, J. O. +3 more
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Parastrophic-orthogonal ternary medial quasigroups with 3 and 4 distinct parastrophes
Математика, інформатика, фізика: наука та освітаIn the article, we study parastrophic-orthogonal ternary quasigroups: namely, group isotopes which have 3 and 4 distinct parastrophes. The necessary and sufficient conditions for ternary medial quasigroups with 3 and 4 distinct parastrophes to be ...
Iryna Fryz, Yevhen Pirus
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On congruences and ideals of partially ordered quasigroups [PDF]
, 2008 summary:Some results concerning congruence relations on partially ordered quasigroups (especially, Riesz quasigroups) and ideals of partially ordered loops are presented.
Demko, Milan
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On Multiplication Groups of Quasigroups [PDF]
, 2022 Quasigroups are algebraic structures in which divisibility is always defined. In this thesis we investigate quasigroups using a group-theoretic approach. We first construct a family of quasigroups which behave in a group-like fashion.
Al Fares, Ahmed
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Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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Products of partially ordered quasigroups [PDF]
, 2008 summary:We describe necessary and sufficient conditions for a direct product and a lexicographic product of partially ordered quasigroups to be a positive quasigroup.
Demko, Milan
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Topology of quasi divisor graphs associated with non-associative algebra
Ain Shams Engineering JournalThe visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem +4 more
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