Cancellative Elements in Finite AG-groupoids

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Journal of New Theory
Issue:30
Cancellative Elements in Finite AG-groupoids

Cancellative Elements in Finite AG-groupoids

Authors : Mehtab KHAN, Amir KHAN, Muhammad Uzair KHAN

Pages : 53-56

View : 17 | Download : 10

Publication Date : 2020-03-26

Article Type : Research Paper

Abstract :An Abel-Grassmann`s groupoid insert ignore into journalissuearticles values(brie y AG-groupoid); is a groupoid S satisfying the left invertive law: insert ignore into journalissuearticles values(xy);z = insert ignore into journalissuearticles values(zy);x for all x, y, z \in S. In the present paper, we discuss the left and right cancellative property of elements of the nite AG-groupoid S. For an AG-groupoid with left identity it is known that every left cancellative ele- ment is right cancellative. We prove a problem insert ignore into journalissuearticles values(for nite AG-groupoids); that every left cancellative element of an AG-groupoid insert ignore into journalissuearticles values(without left identity); is right cancella- tive. Moreover, we generalize various results of nite AG-groupoids by removing the condition of existence of left identity.
Keywords : AG groupoid, AG subgroupoid, Cancellative elements, non cancellative elements

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.