Code loops are RA2 loops

DOI10.1016/0021-8693(90)90088-6zbMath0695.20041OpenAlexW2085262503MaRDI QIDQ909804

Orin Chein, Edgar G. Goodaire

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90088-6

zbMATH Keywords

alternative loop ringnonassociative Moufang loopRA2 loop

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Alternative rings (17D05)

Related Items (5)

Loop algebras of code loops ⋮ SRAR loops with more than two commutators. ⋮ Classification of Osborn loops of order 4n ⋮ LOOP RINGS SATISFYING IDENTITIES OF BOL–MOUFANG TYPE ⋮ Integral Loop Rings of Loops Whose Derived Subloop Is Central

Cites Work

• Moufang loops with a unique nonidentity commutator (associator, square)
• A simple construction for the Fischer-Griess monster group
• Code loops
• Moufang loops with limited commutativity and one commutator
• Isomorphism of loops which have alternative loop rings
• Loops whose loop rings are alternative
• Loops whose loop rings in characteristic 2 are alternative
• Unnamed Item
• Unnamed Item

This page was built for publication: Code loops are RA2 loops