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This article is cited in 2 scientific papers (total in 2 papers)
Enumeration of bi-commutative–AG-groupoids
Muhammad Rashada, Imtiaz Ahmada, Muhammad Shahb, A. Borumand Saeidc 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.
Received: 29.10.2019 Received in revised form: 04.02.2020 Accepted: 09.03.2020
Citation:
Muhammad Rashad, Imtiaz Ahmad, Muhammad Shah, A. Borumand Saeid, “Enumeration of bi-commutative–AG-groupoids”, J. Sib. Fed. Univ. Math. Phys., 13:3 (2020), 314–330
Linking options:
https://www.mathnet.ru/eng/jsfu841 https://www.mathnet.ru/eng/jsfu/v13/i3/p314
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