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

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

An 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?

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