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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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?

Keywords

Rings and Algebras, 16R40; 16R50; 16U60; 17B35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/158580

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701690
 http://arxiv.org/abs/math/0701690
 J. Algebra 319 (2008), no. 10, 4008--4017.

Collections

arXiv