On the Structure of Bol Algebras

2 1 Ju l 2 00 8 THE REPRESENTATION OF BOL ALGEBRAS

We construct a representation of Bol algebras by using the notion of Bol modules.

On the Classification of One Class of Three-dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension I

We give the classification of 3-dimensional Bol algebras associated to the trilinears operations (e2, e3, e2) = e1 ; (e2, e3, e3) = ±e2. It turn that for such trilinears operation there exist up to isomorphism and isotopy one family and one exceptional Bol algebras. We describe their associated 3-webs.

About Levi-malcev Theorem for Homogeneous Bol Algebras

The fundamental ideas of the applicability of Levi-Malcev Theorem for Bol algebras, which plays a basic role in structural theory are outlined

On the Geometry of Three-dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension

Smarandache BCC-algebras

Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B of A which is embedded with a strong structure S. In [9], Kandasamy studied the concept of Smarandache groupoids, subgroupoids, ideal of groupoids, seminormal subgroupoids, Smarandache Bol groupoids, and strong Bol groupoids and obtained many interesting resul...