2021/04/15 by Shuai Zeng, Weiwei Wang, Zeng, Shuai +3
Mathematics · #13A15 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2104.07187
openalex publication_date 2021/04/15 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
Let I(R) be the set of all ideals of a ring R, δ be an expansion function of I(R). In this paper, the δ-J-ideal of a commutative ring is defined, that is, if a, b∈ R and ab∈ I∈ I(R), then a∈ J(R) (the Jacobson radical of R) or b∈ δ(I). Moreover, some properties of δ-J-ideals are discussed,such as localizations, homomorphic images, idealization and so on.