A Note on Multiplication Modules and Pure Submodules

Authors

Said Al Afghani Edsa, Edsa Lab, Edsa Lab, Data Science and Artificial Intelligence, IndonesiaFollow

Document Type

Review

Abstract

Let R be a commutative ring with non zero identity and M be R -module. An R - module M is said to be a multiplication module if for any submodule N of M , there exists an ideal I such that N = I M . Ideal {r∈R : rM ⊆N } is denoted as (N : M ) and ideal (0 : M ) be annihilator of M . We will study the relation between multiplication R -module M and pure R -submodule in M. In this note, will be seen what characteristics can be brought to the multiplication modules and its relation with pure submodules.

Keywords

Modules, Ideal, Multiplication Modules, Pure Submodules

Recommended Citation

Edsa, Said Al Afghani (2024) "A Note on Multiplication Modules and Pure Submodules," Al-Qadisiyah Journal of Pure Science: Vol. 30 : No. 1 , Article 2.
Available at: https://doi.org/10.29350/2411-3514.1232

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