More Results on the Algebraic Properties of Middle Bol loops

Algebraic properties of Middle Bol Loops

Abstract

In this paper, we studied the autostrophism of middle Bol loops. It was shown that all the autostrophisms of middle Bol loop satisfies anti-automorphic inverse property (AAIP). In particular (12) - autostrophism of middle Bol loop is a commutative middle Bol loop. Furthermore, the condition for (13), (23), (123) and (132) autostrophisms of middle Bol loop to be Steiner loop and Moufang loops were also established.