Middle Generalized Bol loops

Abstract

In this paper some algebraic properties of middle generalized Bol
loop are studied. Some bi-variate and j-variate mappings are suited to
generalized Bol context to study some of these properties. Necessary
and sucient conditions, in terms of these mappings and otherwise,
for middle generalized Bol loop to have RIP, LIP, right -alternative
property and left -alternative property are established.
Key words: Middle generalized Bol loops, bivariate mapping, -
alternative property.