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

Abstract

Various classes of hyperideals have been studied in many papers in order to let us fully understand the structures of hyperrings in general. The purpose of this paper is the study of some hyperideals whose concept is created on the basis 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 number of major conclusions.