Title of article :
IDENTITIES OF DUAL LEIBNIZ ALGEBRAS
Author/Authors :
NAURAZBEKOVA, ALTYNGUL Eurasian National University Astana - Department of Mathematics, Kazakhstan , UMIRBAEV, UALBAI Wayne State University - Department of Mathematics, USA
Abstract :
We prove that in characteristic 0 any proper subvariety of the variety of dual Leibniz algebras is nilpotent. Consequently, the variety of dual Leibniz algebras is Shpekhtian and has base rank 1.
Keywords :
dual Leibniz algebras , identitites , free algebras
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
