On ⏀-Prime Submodules

Authors

Ismael Akray, Department of Mathematics,Faculty of Science, Soran University, Erbil, IraqFollow

Document Type

Article

Abstract

In this paper, we study some properties of φ-prime submodules and we give another charactrization for it. For given submodules N and K of a module M with K ⊆ N, we prove that N is φ-prime submodule if and only if N/K is φ_K-prime submodule. Finally, we show that any finite sum of φ-prime submodules is φ-prime.

Keywords

Prime ideal, Prime submodule, ⏀-prime submodule

Recommended Citation

Akray, Ismael (2021) "On ⏀-Prime Submodules," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 4 , Article 32.
Available at: https://doi.org/10.29350/qjps.2021.26.4.1374

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.