On gw-Prime Submodules

Hazhar Ali Said; Adil Kadir Jabbar

doi:10.24996/ijs.2023.64.5.23

Authors

Hazhar Ali Said Department of Mathematics, College of Basic Education, University of Raparin
Adil Kadir Jabbar Department of Mathematics, College of Science, University of Sulaimani

DOI:

https://doi.org/10.24996/ijs.2023.64.5.23

Keywords:

Direct product of modules, quotient module, prime submodules, gw-prime submodules, extension of ideals, multiplicative systems

Abstract

Our aim in this work is to investigate prime submodules and prove some properties of them. We study the relations between prime submodules of a given module and the extension of prime submodules. The relations between prime submodules of two given modules and the prime submodules in the direct product of their quotient module are studied and investigated.