SOLUTION TO THE PROBLEM OF REGULAR MAPS ON BOUNDED LOJID ALGEBRAS

Abstract

Lojid algebras are algebras of type (2,0). Regular maps play a vital role in the study of bounded lojid algebras. They are particularly useful in conceptualizing ideals and subalgebras of lojid algebras. It is therefore important to find a set system through which they can be studied. This paper primarily concerns the development of a set system that accounts for the study of all regular maps on bounded lojid algebras and also to solve the open problem that arose in the study of the theory of lojid algebras.