Minimally nonassociative nilpotent Moufang loops.

DOI10.1016/S0021-8693(03)00343-0zbMath1033.20077MaRDI QIDQ1409755

Orin Chein, Edgar G. Goodaire

Publication date: 22 October 2003

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

zbMATH Keywords

Abelian groups3-generator loopsassociatorscommutative Moufang loopscentrally nilpotent loopsvarieties of Moufang loopsindecomposable loopsminimally nonassociative loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

Toward the classification of Moufang loops of order 64., THREE-GENERATOR INDECOMPOSABLE RA LOOPS

Cites Work

• Moufang loops with a unique nonidentity commutator (associator, square)
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• A Class of Simple Moufang Loops
• Loops whose loop rings are alternative
• Moufang loops of small order
• Moufang Loops of Small Order. I
• Moufang loops of class 2 and cubic forms
• An "Extra" Law for Characterizing Moufang Loops
• Minimally nonassociative commutative Moufang loops
• Generators of nonassociative simple Moufang loops over finite prime fields
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