Nita Tamang - Department of Mathematics, University of North Bengal, Rajarammohunpur, Dist.Darjeeling ۷۳۴۰۱۳, India
Manasi Mandal - Department of Mathematics,Jadavpur University, Kolkata ۷۰۰۰۳۲, India.
Sampad Das - Department of Mathematics,Jadavpur University, Kolkata ۷۰۰۰۳۲, India.

In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring.We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called Cternary hyperideals in ternary hypersemirings. We also generalize the concept of prime and primary avoidance theorem in ternary hypersemirings for C-ternary hyperideals.

Ternary hypersemiring, Primary hyperideals, Prime hyperideals, C-ternary hyperideals