International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 876919, 7 pages
Research Article

On Pure Hyperradical in Semihypergroups

Department of Mathematics & Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, Albania

Received 24 March 2012; Accepted 23 May 2012

Academic Editor: Adolfo Ballester-Bolinches

Copyright © 2012 Kostaq Hila and Krisanthi Naka. 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.


This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties in semihypergroups.