TY - JOUR ID - 127899 TI - Crossing cubic ideals of BCK/BCI-algebras JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Jun, Y.B. AU - Song, S.Z. AD - Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea AD - Department of Mathematics, Jeju National University, Jeju 63243, Korea Y1 - 2021 PY - 2021 VL - 2 IS - 1 SP - 17 EP - 31 KW - Crossing cubic $circ$-subalgebra KW - (closed) crossing cubic ideal KW - $0$-crossing cubic structure KW - translation DO - 10.52547/HATEF.JAHLA.2.1.2 N2 - The 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.  UR - https://jahla.hatef.ac.ir/article_127899.html L1 - https://jahla.hatef.ac.ir/article_127899_d9d3042bfd7f48bb6abea4a21a254c31.pdf ER -