Commutative Moufang loops and distributive groupoids of small orders

DOI10.21136/cmj.1981.101778zbMath0573.20065OpenAlexW3048254229MaRDI QIDQ3691951

Tomáš Kepka, Petr Nemec

Publication date: 1981

Full work available at URL: https://eudml.org/doc/13291

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (11)

The module theory of semisymmetric quasigroups, totally symmetric quasigroups, and triple systems ⋮ On abelian-by-cyclic Moufang loops ⋮ Quasigroups ⋮ The Moufang loops of order 64 and 81. ⋮ Hamiltonian selfdistributive quasigroups. ⋮ Distributive and trimedial quasigroups of order 243 ⋮ Selfdistributive groupoids of small orders ⋮ L'irreductibilité centrale dans les boucles de Moufang commutatives et dans les systèmes triples de Hall ⋮ Ordre minimum des boucles de Moufang commutatives de classe 2 (Resp. 3) ⋮ 3-Abelian groups and commutative Moufang loops ⋮ Commutative idempotent groupoids and the constraint satisfaction problem.

Cites Work

• Distributive groupoids and the finite basis property
• The lattice of varieties of commutative abelian distributive groupoids
• Identities and relations in commutative Moufang loops
• Étude algébrique de la notion de moyenne. II
• Gewebe und Gruppen. (Topologische Fragen der Differentialgeometrie LXV)
• Moufang loops of small order
• Contributions to the Theory of Loops
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