Theory of Abel Grassmann's Groupoids

By Khan, Madad

Book Id: WPLBN0100303067
Format Type: PDF eBook:
File Size: 1.80 MB
Reproduction Date: 10/1/2015

Title:	Theory of Abel Grassmann's Groupoids
Author:	Khan, Madad
Volume:
Language:	English
Subject:	Non Fiction, Science
Collections:	Authors Community, Mathematics
Historic Publication Date:	2015
Publisher:	Educational Publisher

Member Page:	Infinite Science
Citation APA MLA Chicago Khan, B. M., & Smarandache, F. (2015). Theory of Abel Grassmann's Groupoids. Retrieved from http://gutenberg.cc/

Description
An AG-groupoid is an algebraic structure that lies in between a groupoid and a commutative semigroup. It has many characteristics similar to that of a commutative semigroup. If we consider x2y2= y2x2, which holds for all x, y in a commutative semigroup, on the other hand one can easily see that it holds in an AG-groupoid with left identity e and in AG**-groupoids. This simply gives that how an AG-groupoid has closed connections with commutative agebras. We extend now for the first time the AG-groupoid to the Neutrosophic AG-groupoid. A neutrosophic AG-groupoid is a neutrosophic algebraic structure that lies between a neutrosophic groupoid and a neutrosophic commutative semigroup.