Tue, 3 Dec 2024, 1:25 pm MDT
This work introduced and characterized a class of polyloops called Moufang Polyloop and is devoted to studying some algebraic properties of this special class of polyloops. The Moufang identities in classical loop theory were adopted to conceptualize the Moufang polyloop. Moufang polyloop identities were characterized into Moufang polyloop-1, 2, 3 and 4. The flexibility law and some algebraic properties satisfied by each of these identities were studied.