δ (0)-Ideals of Commutative Rings

Let R be a commutative ring with nonzero identity, let (R) be the set of all ideals of R and δ : (R)→ (R) be a function. Then δ is called an expansion function of ideals of R if whenever $L, I, J$ are ideals of R with J ⊆ I, we have L ⊆δ(L) and δ(J)⊆δ(I). In this paper, we present the concept of -ideals in commutative rings. A proper ideal I of R is called a -ideal if whenever a, b ∈ R with ab∈ I and a∉ δ (0), we have b∈ I. Our purpose is to extend the concept of n-ideals to -ideals of commutative rings. Then we investigate the basic properties of -ideals and also, we give many examples about -ideals.