Loop algebras of code loops

DOI10.1080/00927879508825500zbMath0837.20081OpenAlexW2116170953MaRDI QIDQ4857398

Luiz G. X. de Barros, Francisco César Polcino Milies

Publication date: 21 April 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825500

zbMATH Keywords

isomorphism problemMoufang looploop algebrascode loopsnonassociative code loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Combinatorial codes (94B25) Nonassociative algebras satisfying other identities (17A30) Right alternative rings (17D15)

Cites Work

• Finite Abelian groups with isomorphic group algebras
• Units in the modular group algebra of a finite Abelian p-group
• Moufang loops with a unique nonidentity commutator (associator, square)
• Code loops are RA2 loops
• Isomorphisms of integral alternative loop rings
• Code loops
• Isomorphic group (and loop) algebras
• Isomorphisms of rational loop algebras
• Loops whose loop rings are alternative
• On Isomorphisms of Abelian Group Algebras
• Loops whose loop rings in characteristic 2 are alternative

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