N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA

Abstract

Based on a sub-BCK-algebra K of a BCI-algebra X, the notions of N-subalgebras and N-ideals of X are introduced, and their relations/properties are investigated.

Keywords

• sub-BCK-algebra;
• N-subalgebra (ideal);
• N(K, $\varrho$)-subalgebra (ideal)

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References

1. Y. S. Huang, BCI-algebra, Science Press, Beijing, 2006.
2. Y. B. Jun, K. J. Lee, and S. Z. Song, N-ideals of BCK/BCI-algebras, J. Chungcheong Math. Soc. 22 (2009), no. 3, 417-437.
3. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul, 1994.