Article

Algebras and Representation Theory

, Volume 14, Issue 1, pp 113-129

First online:

Jordan Gradings on Associative Algebras

  • Yuri BahturinAffiliated withDepartment of Mathematics and Statistics, Memorial University of NewfoundlandDepartment of Algebra, Faculty of Mechanics and Mathematics, Moscow State University Email author 
  • , Matej BrešarAffiliated withDepartment of Mathematics, University of LjubljanaDepartment of Mathematics and Computer Science, University of Maribor
  • , Ivan ShestakovAffiliated withInstituto de Mathemática e Estatística, Universidade de São Paulo

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Abstract

In this paper we apply the method of functional identities to the study of group gradings by an abelian group G on simple Jordan algebras, under very mild restrictions on the grading group or the base field of coefficients.

Keywords

Associative algebras Jordan algebras Group gradings Functional identities

Mathematics Subject Classifications (2000)

16W10 16W30 16W50