A Comparative Study of AG*-groupoidsy

Authors

  • I. Ahmad University of Malakand, Chakdara
  • R. Naz University of Malakand, Chakdara
  • M. Rashad University of Malakand, Chakdara
  • A. Khan University of Malakand, Chakdara

Abstract

 

A magma satisfying the identityis called an LA-semigroup or AG-groupoid. We investigate the concept of AG*-groupoid, as a subclass of AG-groupoids and establish some relations of AG*-groupoids with other known subclasses of AG-groupoid, like: Stein, Stein*, Jordan and Schroder AG-groupoids. Furthermore, we use the latest computational techniques of Mace-4 and Prover-9 to provide various examples and counterexamples for our relevant investigation.

Author Biographies

I. Ahmad, University of Malakand, Chakdara

Department of Mathematics

R. Naz, University of Malakand, Chakdara

Department of Mathematics

M. Rashad, University of Malakand, Chakdara

Department of Mathematics

A. Khan, University of Malakand, Chakdara

Department of Computer Science

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Published

31-12-2016

How to Cite

[1]
I. Ahmad, R. Naz, M. Rashad, and A. Khan, “A Comparative Study of AG*-groupoidsy”, The Nucleus, vol. 53, no. 4, pp. 269–274, Dec. 2016.

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