J. O. Adeniran | Searcharxiv

arXiv2019

Universal $α$-elasticity of generalized Moufang loops

In this study we introduce $α$-elasticity property for generalized Moufang loops. Necessary and sufficient conditions for $α$-elasticity of generalized Moufang loops to be universal are given. Using the universal conditions, and in some cases, with the newly introduced right and left $α$-alternative laws for generalized Moufang loops, some properties of generalized Moufang loops are studied. Condition under which the generalized Moufang loop is an abelian group is stated.

math.GR↗

arXiv2009

On Some Algebraic Properties of Generalized Groups

Some results that are true in classical groups are investigated in generalized groups and are shown to be either generally true in generalized groups or true in some special types of generalized groups. Also, it is shown that a Bol groupoid and a Bol quasigroup can be constructed using a non-abelian generalized group.

math.GM↗