Title of article :
CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS
Author/Authors :
Cedilnik, Anton Biotechnical Faculty - University of Ljubljana, Slovenia , Jerman, Marjan Faculty of Mathematics and Physics University of Ljubljana, Slovenia
Abstract :
The classification of three-dimensional zeropotent algebras over
an arbitrary field is given. It is complete up to the individual properties of the
ground field.
Keywords :
Zeropotent algebra , anti-commutative algebra , non-associative algebra , Lie algebra
Journal title :
International Electronic Journal of Algebra