Divisor graphs and isotopy invariants of commutative quasigroups

DOI10.1016/j.jcta.2021.105577zbMath1480.05142OpenAlexW4200390737MaRDI QIDQ2068616

John D. LaGrange

Publication date: 20 January 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2021.105577

zbMATH Keywords

quasigroupisotopydivisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Loops, quasigroups (20N05) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• The zero-divisor graphs of posets and an application to semigroups
• On Beck's coloring of posets
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The zero-divisor graph of a commutative semigroup
• Divisor graphs of a commutative ring
• Irreducible Divisor Graphs
• The idempotent-divisor graphs of a commutative ring
• The $x$-divisor pseudographs of a commutative groupoid
• Isotopy Invariants in Quasigroups
• Quasigroups. I
• Quasigroups. II
• Some Results in the Theory of Quasigroups
• Algebraic graph theory. Morphisms, monoids and matrices

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