Paramedial and Bol* Abel-Grassmann Groupoids


  • M. Shah Department of Mathematics, Quaid-e-Azam University, Islamabad, Pakistan.
  • I. Ahmad Department of Mathematics, University of Malakand, Chakdara, Pakistan.


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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How to Cite

M. Shah and I. Ahmad, “Paramedial and Bol* Abel-Grassmann Groupoids”, The Nucleus, vol. 52, no. 3, pp. 130–137, Sep. 2015.




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