Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings

Abstract

In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved. We prove under certain conditions that the intersection of two ϕ-2-absorbing primary hyperideals is also a ϕ-2-absorbing primary hyperideal. Examples of ϕ-2-absorbing primary hyperideals are also studied