A note on the number of associative triples in finite commutative Moufang loops
Tomáš Kepka (1981)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Commutative Moufang loops and distributive Steiner quasigroups nilpotent of class 3”
A note on the number of associative triples in finite commutative Moufang loops
Multiplication groups of quasigroups and loops II.
Aleš Drápal, Tomáš Kepka, Petr Maršálek (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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Isomorphic algebraic pre-closures and equivalent set-systems
Jan Chvalina (1977)
Archivum Mathematicum
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On nondistributive Steiner quasigroups
A. Marczak (1997)
Colloquium Mathematicae
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A well known result of R. Dedekind states that a lattice is nonmodular if and only if it has a sublattice isomorphic to . Similarly a lattice is nondistributive if and only if it has a sublattice isomorphic to or (see [11]). Recently a few results in this spirit were obtained involving the number of polynomials of an algebra (see e.g. [1], [3], [5], [6]). In this paper we prove that a nondistributive Steiner quasigroup (G,·) has at least 21 essentially ternary polynomials (which...