Free commutative Moufang loops and anticommutative graded rings

DOI10.1016/0021-8693(80)90304-XzbMath0451.20063MaRDI QIDQ1147828

Lucien Beneteau

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

associatorsderived subloopsolvability lengthassociator calculusBruck-Slaby theoremfree commutative Moufang loopanticommutative graded ringscentral nilpotency classdistributor-nilpotency class

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (13)

On automorphisms of commutative Moufang loops ⋮ Medial nilpotent distributive quasigroups and CH-quasigroups ⋮ Involutive automorphisms of finite \(p\)-groups. ⋮ Quasigroups ⋮ Les systèmes triples de Hall de dimension 4 ⋮ Commutative Moufang loops and alternative algebras. ⋮ On the Bruck-Slaby theorem for commutative Moufang loops ⋮ Hamiltonian selfdistributive quasigroups. ⋮ On the length of the central series (derived series) of a Moufang commutative loop ⋮ L'irreductibilité centrale dans les boucles de Moufang commutatives et dans les systèmes triples de Hall ⋮ The Hall triple systems of small class ⋮ Quelques consequences de la locale nilpotence des boucles de moufang commutatives ⋮ Ordre minimum des boucles de Moufang commutatives de classe 2 (Resp. 3)

Cites Work

• An open question concerning Moufang loops
• Étude algébrique de la notion de moyenne
• Quelques consequences de la locale nilpotence des boucles de moufang commutatives
• Contributions to the Theory of Loops
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