A comparative study of AG*-groupoids. | [Nucleus • 2016]

Author(s):

1. I. Ahmad: Department of Mathematics, University of Malakand, Chakdara, DirLower, Pakistan

2. R. Naz: Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Pakistan

3. M. Rashad: Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Pakistan

4. A. Khan: Department of Computer Science, University of Malakand, Chakdara, Pakistan

Abstract:

A magma satisfying the identity (a B)C = (cb)a is 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.

Page(s): 269-274

DOI: DOI not available

Published: Journal: Nucleus, Volume: 53, Issue: 4, Year: 2016

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