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A comparative study of AG*-groupoids.

Author(s)
I. Ahmad Department of Mathematics, University of Malakand, Chakdara, DirLower, Pakistan
R. Naz Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Pakistan
M. Rashad Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Pakistan
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.
Publication Details
Page(s) 269-274
DOI DOI not available
Published Journal: Nucleus, Volume: 53, Issue: 4, Year: 2016

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