International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 13527, 10 pages
doi:10.1155/IJMMS/2006/13527
Classifying two-dimensional hyporeductive triple algebra
Département de Mathématiques, Université d'Abomey-Calavi, Cotonou 01 BP 4521, Benin
Received 16 March 2005; Revised 24 January 2006; Accepted 12 March 2006
Copyright © 2006 A. Nourou Issa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Two-dimensional real hyporeductive triple algebras (h.t.a.) are investigated. A classification of such algebras is presented. As a consequence, a classification of two-dimensional real Lie triple algebras (i.e., generalized Lie triple systems) and two-dimensional real Bol algebras is given .