On primary hyperideals of ternary hypersemiring

Document Type : Research Paper

Authors

1 Department of Mathematics, University of North Bengal, Rajarammohunpur, Dist.Darjeeling 734013, India

2 Department of Mathematics,Jadavpur University, Kolkata 700032, India.

Abstract

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.

Keywords


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