POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS

DOI10.1142/S0219498808002989zbMath1220.17025MaRDI QIDQ3602713

Edgar G. Goodaire, Francisco César Polcino Milies

Publication date: 12 February 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

group identityalternative loop ringPolynomial identityMoufang loop of units

Mathematics Subject Classification ID

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

Related Items

Notes on the history of identities on group (and loop) algebras

Cites Work

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• Nilpotent Moufang unit loops
• Group identities on units of group algebras
• Loops whose loop rings are alternative
• A note on central idempotents in group rings
• A class of loops with right alternative loop rings
• Group algebras whose units satisfy a group identity
• Alternative loop rings
• Finite conjugacy in alternative loop algebras
• Finite subloops of units in an alternative loop ring