2022/04/15 by Al-Shorman, Tamem, Bataineh, Malik
#FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2204.07578
The purpose of this article is to introduce the graded classical S-primary submodules which are extensions of graded classical primary submodules. We state that P is a graded classical S-primary submodule of R-module M if there exists s∈ S such that x,y ∈ h(R) and m ∈ h(M), if xym ∈ P, then sxm ∈ P or synm ∈ P for some positive integer n. Several properties and characteristics of graded classical S-primary submodules have been studied.