Group identities on the units of algebraic algebras with applications to restricted enveloping algebras

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dc.creatorJespers, Eric
dc.creatorRiley, David
dc.creatorSiciliano, Salvatore
dc.date2007-01-24
dc.date.accessioned2026-07-07T09:31:46Z
dc.date.available2026-07-07T09:31:46Z
dc.descriptionAn algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-algebra satisfy a polynomial identity? 2. Is every algebraically generated GI-algebra locally finite?
dc.identifierhttps://arxiv.org/abs/math/0701690
dc.identifierhttp://arxiv.org/abs/math/0701690
dc.identifierJ. Algebra 319 (2008), no. 10, 4008--4017.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158580
dc.subjectRings and Algebras
dc.subject16R40; 16R50; 16U60; 17B35
dc.titleGroup identities on the units of algebraic algebras with applications to restricted enveloping algebras
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