n-fold 2-nilpotent(solvable) ideal of a BCK-algebra

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Mohammadzadeh E.; Mohammadzadeh F.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2022 | Volume:3 | Issue:4 Page(s): 75-85

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Information Journal Paper

Title

n-fold 2-nilpotent(solvable) ideal of a BCK-algebra

Author(s)

Mohammadzadeh E. | Mohammadzadeh F. | Issue Writer Certificate

Keywords

BCK-algebra

ideal

nilpotent (solvable) BCK-algebra

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).

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