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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158580An 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?Rings and Algebras16R40; 16R50; 16U60; 17B35Group identities on the units of algebraic algebras with applications to restricted enveloping algebrastext