Positive Implicative Soju Ideals in BCK-Algebras

Xiao Long Xin; Rajab Ali Borzooei; Young Bae Jun

doi:10.18778/0138-0680.48.1.01

Authors

Xiao Long Xin School of Mathematics, Northwest University, Xi'an, China
Rajab Ali Borzooei Department of Mathematics, Shahid Beheshti University, Teheran, Iran
Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Jinju, Korea

DOI:

https://doi.org/10.18778/0138-0680.48.1.01

Keywords:

soju subalgebra, soju ideal, positive implicative soju ideal

Abstract

The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.

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