Advances in Decision Sciences
Volume 2012 (2012), Article ID 652814, 9 pages
http://dx.doi.org/10.1155/2012/652814
Research Article

On Ideals of Implication Groupoids

Ravi Kumar Bandaru

Department of Engineering Mathematics, GITAM University, Hyderabad Campus, Medak District, Andhra Pradesh 502 329, India

Received 5 April 2012; Accepted 6 June 2012

Academic Editor: Shelton Peiris

Copyright © 2012 Ravi Kumar Bandaru. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Ideals of implication groupoids are considered. Given a subset of a distributive implication groupoid, the smallest ideal containing it is constructed. A characterization of ideals in distributive implication groupoid using upper sets is given.