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A note on paramedial AG-groupoids

Author(s)
Imtiaz Ahmad Department of Mathematics, University of Malakand,Chakdara,Pakistan
Muhammad Iqbal Department of Mathematics, University of Malakand,Chakdara,Pakistan
Muhammad Rashad Department of Mathematics, University of Malakand, Chakdara, Pakistan.
Amanullah Department of Mathematics, University of Malakand, Chakdara, Pakistan
Abstract
An AG-groupoid satisfying the property: (ub)(cd) = (db)(cu) is known as paramedial AG-groupoid [22]. In this note, we study some characteristics and constructions of paramedial AG-groupoids. Latest computational techniques of Mace-4 and GAP are used for generating various examples and counterexamples to strengthen the study of this subclass. Various relations of this subclass with other known algebraic structures are established. Furthermore, paramedial AG-groupoid is decomposed with the help of some congruences.
Publication Details
Page(s) 25-36
DOI DOI not available
Published Journal: Punjab University Journal of Mathematics, Volume: 52, Issue: 7, Year: 2020

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Keywords
AG-groupoid, Enumeration, congruences., LA-semigroup, Paramedial
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