Title of article
Group identities on the units of algebraic algebras with applications to restricted enveloping algebras
Author/Authors
Eric Jespers، نويسنده , , David Riley، نويسنده , , Salvatore Siciliano، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
10
From page
4008
To page
4017
Abstract
An algebra A is called a GI-algebra if its group of units A× 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
Units , group identities , Restricted Lie algebras , enveloping algebras , Algebraic , Locally finite
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698605
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