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Theory of Abel Grassmann's Groupoids

By Khan, Madad

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Book Id: WPLBN0100303067
Format Type: PDF (eBook)
File Size: 1.71 MB.
Reproduction Date: 10/1/2015

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

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Khan, M., & Smarandache, F. (2015). Theory of Abel Grassmann's Groupoids. Retrieved from http://www.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.

 

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