2025/05/15 by F. Farshadifar, Farshadifar, F.
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2505.09961
openalex publication_date 2025/05/15 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28
Let R be a commutative ring with identity and M be an R-module. A proper ideal I of R is said to be a z^∘-ideal if for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. The purpose of this paper is to introduce the notion of z^∘-submodules of M as an extension of z^∘-ideals of R. Moreover, we investigate some properties of this class of submodules when M is a reduced multiplication R-module.