University of GuilanJournal of Algebra and Related Topics2345-393110120220601Generalization of $n$-ideals1133561410.22124/jart.2022.19789.1282ENS.KarimzadehDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, , Rafsanjan, Iran.0000-0002-8395-2626S.HadjirezaeiDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, , Rafsanjan, Iran.0000-0002-8994-5523Journal Article20210606Let f:A→B be a ring homomorphism and let J<br />be an ideal of B. We proved some results concerning n-ideals and<br />(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<br />and J-ideals.https://jart.guilan.ac.ir/article_5614_0b2f1094c89e2b9611a034b358486a88.pdf