TY - JOUR ID - 164773 TI - n-fold 2-nilpotent(solvable) ideal of a BCK-algebra JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Mohammadzadeh, E. AU - Mohammadzadeh, F. AD - Department of Mathematics, Faculty of Science, Payame Noor University, 19395-3697, Tehran, Iran Y1 - 2022 PY - 2022 VL - 3 IS - 4 SP - 75 EP - 85 KW - BCK-algebra KW - ideal KW - nilpotent (solvable) BCK-algebra DO - 10.52547/HATEF.JAHLA.3.4.6 N2 - In this paper,  first  we introduce the notions of k-nilpotent (solvable) ideals  and k-nilpotent BCK-algebras. Specially, we show  that every commutative ideal is 1-nilpotent (solvable). Second, we state  an equivalent condition to k-nilpotency (solvablity) ideals and  BCK-algebra. Finally,  we study n-fold 2-nilpotent (solvable) ideals and BCK-algebras as a generalization of n-fold commutative ideals and BCK-algebras, and we study the relation between these two concepts. Basically, we compare 2-nilpotent and solvable ideals (BCK-algebras). UR - https://jahla.hatef.ac.ir/article_164773.html L1 - https://jahla.hatef.ac.ir/article_164773_9ba2175fcf72dca29a46a6537ba45151.pdf ER -