Muhammad Rashad, Imtiaz Ahmad, Muhammad Shah, A. Borumand Saeid, “Enumeration of bi-commutative–AG-groupoids”, J. Sib. Fed. Univ. Math. Phys., 2020, Volume 13, Issue 3,Pages <nobr>314

This article is cited in 2 papers

Enumeration of bi-commutative–AG-groupoids

Muhammad Rashad^a, Imtiaz Ahmad^a, Muhammad Shah^b, A. Borumand Saeid^c

^a University of Malakand, Chakdara Dir(L), Pakistan
^b Government Collage Peshawar, Peshawar, Pakistan
^c Shahid Bahonar University of Kerman, Kerman, Iran

Abstract: In this paper, we introduce (left, right) bi-commutative AG-groupoids and provide a simple method to test whether an arbitrary AG-groupoid is bi-commutative AG-groupoid or not. We also explore some of the general properties of these AG-groupoids. Further we introduce and study some properties of ideals in these AG-groupoids and decompose left commutative AG-groupoids by defining some congruences on these AG-groupoids.

Keywords: AG-groupoid, Bi-Commutative–AG-groupoids, (left, right) commutative AG-groupoids.

UDC: 512.7

Received: 29.10.2019
Received in revised form: 04.02.2020
Accepted: 09.03.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-3-314-330