n-Ideals of Commutative Rings


Unsal Tekir, Suat Koc, Kursat Hakan Oral




In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab 2 I with a < p 0; then b 2 I for every a; b 2 R: We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-ideals.