Hyper Be–algebras

In this paper, we introduce the notion of hyper BE–algebra and investigate some properties. Also, some types of hyper filters in hyper BE–algebras are studied and the relationship between them are stated. We try to show that these notions are independent by some examples. Furthermore, it shows that under special condition hyper BE–algebras are equivalent to dual hyper K–algebras. AMS Mathematics Subject Classification (2010): 06F35, 03G25.