Generalization of $n$-ideals

Document Type : Research Paper


Department of Mathematics, Vali-e-Asr University of Rafsanjan, , Rafsanjan, Iran.


Let f:A→B be a ring homomorphism and let J
be an ideal of B. We proved some results concerning n-ideals and
(2; n)-ideals of A⋈^f J. Then we recall a proper ideal I of A as √(δ(0))-ideal if ab ϵ I then b ∈ I or a ∈ √(δ(0)) for every a; b ∈ A. We investigate some properties of √(δ(0))-ideal with similar n-ideals
and J-ideals.