Characterizations of hemirings in terms of cubic $$h$$h-ideals

Some operational properties of cubic sets are first investigated. The notion of cubic $$h$$h-ideals, cubic $$h$$h-bi-ideals and cubic $$h$$h-quasi-ideals are introduced and several properties are provided. The characterizations of $$h$$h-hemiregular hemirings, $$h$$h-intra-hemiregular hemirings and of both $$h$$h-hemiregular and $$h$$h-intra-hemiregular hemirings are studied.

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