The dual of z-submodules of modules and some of extensions

2023/09/17 by F. Farshadifar, Farshadifar, F., Али Молхаси +3
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2309.09259

openalex publication_date 2023/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a commutative ring with identity and M be an R-module. The purpose of this paper is to introduced the dual notion of z-submodules of M and some of extensions. Moreover, we investigate some properties of these classes of modules when M is a coreduced comultiplication R-module.

Related

• The dual of the notions r-submodules, n-submodules, and J-submodules
• Survey on second submodules of modules over commutative rings
• Quasi z^∘-submodules of a reduced multiplication
• S-secondary submodules of a module
• ψ-second submodules of a module