Paramedial and Bol* Abel-Grassmann Groupoids

M. Shah, I. Ahmad


We introduce a new class of groupoids which we name Bol*-groupoids. This in turn gives another new class of AG-groupoids that we call Bol*-AG-groupoids. We also enlist two new classes of AG-groupoids namely paramedial AG-groupoids and AG-groupoid-semigroups. The latter is also an interesting new class of semigroups. We discuss some basic properties of these newly introduced classes and provide various finite examples to show their existence.

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