Cayley-dickson algebras andRAloops

DOI10.1080/00927870008841086zbMath0953.17023OpenAlexW2014207003MaRDI QIDQ4942373

Yongxin Zhou, Edgar G. Goodaire

Publication date: 26 January 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008841086

zbMATH Keywords

Moufang loopCayley-Dickson algebra\(RA\)-loop

Mathematics Subject Classification ID

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

Related Items

Cayley-dickson algebras and alternative loop algebras ⋮ Polynomial Identities of RA and RA2 Loop Algebras

Cites Work

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• On automorphisms and derivations of Cayley-Dickson algebras
• Units in alternative loop rings
• Classifying indecomposable R.A. loops
• Units in integral loop rings
• Quadratic forms permitting composition
• Isomorphisms of rational loop algebras
• Loops whose loop rings are alternative
• A class of loops with right alternative loop rings
• Induced Automorphisms of Free Metabelian Groups
• Loops whose loop rings in characteristic 2 are alternative