Journal of Siberian Federal University. Mathematics & Physics / Enumeration of Bi-Commutative–AG-groupoids

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (3)
Authors
Rashad, Muhammad; Ahmad, Imtiaz; Shah, Muhammad; Saeid, A. Borumand
Contact information
Rashad, Muhammad: University of Malakand Chakdara Dir(L), Pakistan; ; Ahmad, Imtiaz: University of Malakand Chakdara Dir(L), Pakistan; ; Shah, Muhammad: Government Collage Peshawar Peshawar, Pakistan; ; Saeid, A. Borumand: Shahid Bahonar University of Kerman Kerman, Iran;
Keywords
AG-groupoid; Bi-Commutative–AG-groupoids; (left, right) commutative AG-groupoids
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

Pages
314–330
DOI
10.17516/1997-1397-2020-13-3-314-330
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/135205