1
Department of Mathematics, Maku Branch, Islamic Azad University, Maku, Iran
2
Department of Mathematics, Payame Noor University, p. o. box. 19395-3697, 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.
Rezazadeh, A., Radfar, A. (2020). Relation between hyper $K$-algebras with superlattices and hypersemilattices. Journal of Algebraic Hyperstructures and Logical Algebras, 1(4), 95-106.
MLA
Afagh Rezazadeh; Akefe Radfar. "Relation between hyper $K$-algebras with superlattices and hypersemilattices". Journal of Algebraic Hyperstructures and Logical Algebras, 1, 4, 2020, 95-106.
HARVARD
Rezazadeh, A., Radfar, A. (2020). 'Relation between hyper $K$-algebras with superlattices and hypersemilattices', Journal of Algebraic Hyperstructures and Logical Algebras, 1(4), pp. 95-106.
VANCOUVER
Rezazadeh, A., Radfar, A. Relation between hyper $K$-algebras with superlattices and hypersemilattices. Journal of Algebraic Hyperstructures and Logical Algebras, 2020; 1(4): 95-106.