Commutative Intersection-Soft Ideals in BCK-Algebras

YOUNG BAE JUN

In BCK-algebras, the notion of commutative intersection-soft ideal is introduced, and related properties are investigated. Characterizations of a commutative intersection-soft ideal are considered. Conditions for an intersection-soft ideal to be commutative are provided. Extension property of a commutative intersection-soft ideal is established. The problem of classifying (commutative) intersection-soft ideals by their inclusive sets is solved.

2010 Mathematics Subject Classification. 06F35, 03G25, 06D72.

Keywords: (Commutative) intersection-soft ideal, γ -inclusive set.