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Various classes of hyperideals have been studied in many papers in order tolet us fully understand the structures of hyperrings in general. The purpose ofthis paper is the study of some hyperideals whose concept is created on thebasis of the intersection of all n-ary prime hyperideals in category of Krasner(m,n)-hyperrings. In this regard we introduce notions of N-hyperideals,delta-N-hyperideals, (k,n)-absorbing delta-N-hyperideals and S-N-hyperideals.The overall framework of these structures in then explaind, providing a numberof major conclusions.

Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals