Volume no :4, Issue no: 1, September (2010)

Journal of Algebra, Number Theory: Advances and Applications

THE DESCRIPTION OF DENDRIFORM ALGEBRA STRUCTURES ON TWO-DIMENSIONAL COMPLEX SPACE

Author's: Ikrom M. Rikhsiboev, Isamiddin S. Rakhimov and Witriany Basri
Pages: [1] - [18]
Received Date: January 19, 2010
Submitted by:

Abstract

In this paper, we classify all dendriform algebra structures on two-dimensional complex space. We distinguish twelve isomorphism classes (one parametric family and eleven concrete) of two-dimensional complex dendriform algebras, and show that they exhaust all possible cases.

Keywords

dendriform algebra, isomorphism, nilpotency.