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On Modulo AG-groupoids by Amanullah; Rashad, Muhammad; Ahmad, Imtiaz; Shah, Muhammad is a scholarly article available to read on EtoBox.

What is On Modulo AG-groupoids about?

A groupoid G is called an AG-groupoid if it satisfies the left invertive law: (ab)c = (cb)a. An AG-group G, is an AG-groupoid with left identity e \in G (that is, ea = a for all a \in G) and for all a \in G there exists a' \in G such that a.a' = a'.a = e. In this article we introduce the concept of AG-groupoids (mod n) and AG-group (mod n) using Vasantha's constructions [1]. This enables us to prove that AG-groupoids (mod n) and AG-groups (mod n) exist for every integer n \geq 3. We also give some nice characterizations of some classes of AG-groupoids in terms of AG-groupoids (mod n).

Author

Amanullah; Rashad, Muhammad; Ahmad, Imtiaz; Shah, Muhammad

Published

2014

Language

EN