A note on paramedial AG-groupoids | [Punjab University Journal of Mathematics • 2020]

Author(s):

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

2. Muhammad Iqbal: Department of Mathematics, University of Malakand,Chakdara,Pakistan

3. Muhammad Rashad: Department of Mathematics, University of Malakand, Chakdara, Pakistan.

4. 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.

Page(s): 25-36

DOI: DOI not available

Published: Journal: Punjab University Journal of Mathematics, Volume: 52, Issue: 7, Year: 2020

Keywords:

AGgroupoid , Enumeration , congruences , LAsemigroup , Paramedial

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