Abstract
This article explores the concept of hybrid interior ideals and the hybrid characteristic interior ideals of a ternary semigroup. We establish some equivalent requirements for a hybrid structure to be a hybrid interior ideal of a ternary semigroup. Also, we show that for a regular semigroup and an intra-regular semigroup, hybrid interior ideals and hybrid ideals coincide. Furthermore, the notion of a hybrid bi-ideal of a ternary semigroup is introduced, and some of its key characteristics are explored.
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