Title of article :
Relation between hyper K-algebras with superlattices and hypersemilattices
Author/Authors :
Rezazadeh, A Department of Mathematics - Maku Branch Islamic Azad University, Maku, Iran , Radfar, A Department of Mathematics - Payame Noor University, Tehran, Iran
Abstract :
In this paper, by considering the concepts of hypersemilattice
and superlattice, we prove that any commutative
and positive implicative hyper K-algebra, is a hypersemilattice.
Moreover, we prove that any bounded commutative
hyper K-algebra with some conditions, is a superlattice.
Keywords :
BCK-algebras , superlattice , hypersemilattice , bounded hyper K-algebras , commutative hyper K-algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
