Hatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60002120210201Crossing cubic ideals of BCK/BCI-algebras173112789910.52547/HATEF.JAHLA.2.1.2ENYoung BaeJunDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaSeok-ZunSongDepartment of Mathematics, Jeju National University, Jeju 63243, KoreaJournal Article20210307The notions of a crossing cubic ideal in a BCK/BCI-algebra, a closed crossing cubic ideal in a BCI-algebra, and a crossing cubic $circ$-subalgebra of a BCK-algebra with the condition (S) are introduced, and several properties are investigated. The relationship between them is established. Conditions for a crossing cubic structure to be a closed crossing cubic ideal are provided. Conditions under which crossing cubic ideals are closed are explored. Characterizations of crossing cubic ideals are discussed. The translation of crossing cubic subalgebras and crossing cubic ideals are studied. Conditions for the translation of a crossing cubic structure to be a crossing cubic subalgebra (ideal) are provided, and its characterization is established. http://jahla.hatef.ac.ir/article_127899_d9d3042bfd7f48bb6abea4a21a254c31.pdf