On 2-absorbing ideals of generalized power series rings

In this paper, we study 2-absorbing ideals of generalized power series rings. As a main theorem, it is proved that under suitable conditions on a ring [Formula: see text] and a monoid [Formula: see text], for every non-zero proper ideal [Formula: see text] of [Formula: see text], [Formula: see text] is 2-absorbing ideal if and only if so is [Formula: see text]. As particular cases of our general results we obtain new results on polynomial (series) rings, Laurent polynomial (series) rings, monoid rings and Mal’cev–Neumann series rings. Our results extend and unify many existing results.