Abstract
In this paper, the concept of hybrid ideals in BCK/BCI-algebras is introduced, and related properties are investigated. Further, it is proved that every hybrid ideal is hybrid sub-algebra in BCK/BCI-algebras, but the converse is not valid in general, and an example is provided in this regard. Some characterizations of hybrid ideals in BCK/BCI-algebras are given. Moreover, the notion of hybrid closed ideals in BCI-algebras is introduced, and some associated properties are studied. Furthermore, the hybrid intersection and hybrid union are also discussed.
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