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

JOURNAL OF ALGEBRA

卷:319

Article

Jespers, Eric¹  Riley, David²  Siciliano, Salvatore³ 

[1] Vrije Univ Brussels, Dept Math, B-1050 Brussels, Belgium

[2] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

[3] Univ Salento, Dept Math E De Giorgi, I-73100 Lecce, Italy

关键词: units;    group identities;    algebraic;    locally finite;    restricted Lie algebras;    enveloping algebras;   

DOI  :  10.1016/j.jalgebra.2008.02.024

来源: Elsevier

【 摘 要 】

An algebra A is called a GI-algebra if its group of units A(x) 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? (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free