2022/07/23 by Mohsen Aghajani, Aghajani, Mohsen
Mathematics · #13A15 #13C05 #13C10 #13C15 #16E50 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2207.11533
openalex publication_date 2022/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider the N-pure notion. An ideal I of a ring R is said to be N-pure, if for every a∈ I there exists b∈ I such that a(1-b)∈ N(R), where N(R) is nil radical of R. We provide new characterizations for N-pure ideals. In addition, N-pure ideals of an arbitrary ring are identified. Also, some other properties of N-pure ideals are studied. finally, we prove some results about the endomorphism ring of pure and N-pure ideals.