Mohammad Ali Hashemi - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran

In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.

Equality algebra, Hyper equality algebra, Hyper JK-algebra, Hyper pseudo MV-algebra, JK-algebra, pseudo hyper BCK-algebra