n-pure submodules of modules

2020/02/04 by F. Farshadifar, Farshadifar, F
Mathematics · #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2002.01133

Abstract

Let R be a commutative ring, M an R-module. In this paper, we will introduce the concept of n-pure submodules of M as a generalization of pure submodules and obtain some related results.

Related

• The dual of the notions r-submodules, n-submodules, and J-submodules
• Semi n-submodules of modules over commutative rings
• 2-irreducible and strongly 2-irreducible submodules of a module
• On (k,n)-closed submodules
• Modules in which pure submodule is essential in a direct summand