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.
This research is financially supported by Government of Pakistan through HEC funded project NRPU-3509.
Received: 29.10.2019 Received in revised form: 04.02.2020 Accepted: 09.03.2020
Bibliographic databases:
Document Type:
Article
UDC:512.7
Language: English
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