Groups, triality, and hyperquasigroups.

DOI10.1016/j.jpaa.2011.08.014zbMath1252.20066OpenAlexW1996440833WikidataQ122155276 ScholiaQ122155276MaRDI QIDQ425284

Jonathan D. H. Smith

Publication date: 8 June 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.08.014

zbMATH Keywords

trialityLatin squaresgroupsquasigroupshyperquasigroups

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Hypergroups (20N20) Heterogeneous algebras (08A68)

Related Items (5)

Stochastic tensors and approximate symmetry ⋮ Isomorphism invariants for linear quasigroups ⋮ The orthogonal systems of functions on lattices of SU(n + 1), n < ∞ ⋮ Semi-lattice of varieties of quasigroups with linearity ⋮ On the enumeration and asymptotic growth of free quasigroup words

Cites Work

• On multiplication groups of loops
• Mal'cev varieties
• Nonassociative Number Theory
• EVANS' NORMAL FORM THEOREM REVISITED
• Simplicial methods and the interpretation of “triple” cohomology
• Simple Moufang loops
• Homomorphisms and endomorphisms of linear and alinear quasigroups
• On the axiomatization of quasigroups
• Algebras with a Scheme of Operators
• Homomorphisms of Non-Associative Systems
• Contributions to the Theory of Loops
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