• 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