Department of Mathematics, Faculty of Science, Payame Noor University, 19395-3697, Tehran, Iran
Abstract
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).
Mohammadzadeh, E., & Mohammadzadeh, F. (2022). n-fold 2-nilpotent(solvable) ideal of a BCK-algebra. Journal of Algebraic Hyperstructures and Logical Algebras, 3(4), 75-85.
MLA
E. Mohammadzadeh; F. Mohammadzadeh. "n-fold 2-nilpotent(solvable) ideal of a BCK-algebra". Journal of Algebraic Hyperstructures and Logical Algebras, 3, 4, 2022, 75-85.
HARVARD
Mohammadzadeh, E., Mohammadzadeh, F. (2022). 'n-fold 2-nilpotent(solvable) ideal of a BCK-algebra', Journal of Algebraic Hyperstructures and Logical Algebras, 3(4), pp. 75-85.
VANCOUVER
Mohammadzadeh, E., Mohammadzadeh, F. n-fold 2-nilpotent(solvable) ideal of a BCK-algebra. Journal of Algebraic Hyperstructures and Logical Algebras, 2022; 3(4): 75-85.
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