TY - JOUR ID - 119752 TI - Relation between hyper $K$-algebras with superlattices and hypersemilattices JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Rezazadeh, A. AU - Radfar, A. AD - Department of Mathematics, Maku Branch, Islamic Azad University, Maku, Iran AD - Department of Mathematics, Payame Noor University, p. o. box. 19395-3697, Tehran, Iran Y1 - 1999 PY - 1999 VL - 1 IS - 4 SP - 95 EP - 106 KW - BCK-algebras KW - commutative hyper K-algebras KW - bounded hyper K-algebras KW - hypersemilattice KW - superlattice DO - 10.52547/HATEF.JAHLA.1.4.7 N2 - 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 con UR - https://jahla.hatef.ac.ir/article_119752.html L1 - https://jahla.hatef.ac.ir/article_119752_95503bec23fbebfad7ff6c472a66e942.pdf ER -