Polynomial Identities of RA and RA2 Loop Algebras

DOI10.1080/00927870601074822zbMath1132.20043OpenAlexW2005221284MaRDI QIDQ3429304

Irvin Roy Hentzel, Luiz Antonio Peresi, Stanley Orlando Juriaans

Publication date: 30 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601074822

zbMATH Keywords

Moufang loopspolynomial identitiesloop algebrasCayley-Dickson algebrasring alternative loops

Mathematics Subject Classification ID

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

Cites Work

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• The Specht property of the ideals of identities of certain simple nonassociative algebras
• Minimal identities of octonion algebras
• Polynomial identities of RA2 loop algebras
• Identities of Cayley-Dickson algebras
• Identities for the associator in alternative algebras
• Loops whose loop rings are alternative
• Cayley-dickson algebras andRAloops
• Cayley-dickson algebras and alternative loop algebras
• Loops whose loop rings in characteristic 2 are alternative

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