  The notions of N-hyperideals and J-hyperideals as two classes of hyperideals
were recently defined in the context of Krasner (m,n)-hyperrings. These
concepts are created on the basis of the intersection of all n-ary prime
hyperideals and the intersection of all maximal hyperideals, respectively.
Despite being vastly different in many aspects, they shar numerous similar
properties. The aim of this research work is to merge them under one frame
called n-ary delta(0)-hyperideals where the function delta assigns to each
hyperideals of a Krasner (m,n)-hyperring a hyperideal of the same hyperring. We
give various properties of n-ary delta(0)-hyperideals and use them to
characerize certain classes of hyperring such as hyperintegral domains and
local hyperrings. Moreover, we introduce the notions of (s,n)-absorbing
delta(0)-hyperideals and weakly (s,n)-absorbing delta(0)-hyperideals.
