Rad-Quasi-Prime Submodules

Rana NooriMajeed; Ghaleb Ahmed; mahmood salim; Lemya Abd Alameer Hadi

doi:10.52866/ijcsm.2024.05.02.002

Authors

Rana NooriMajeed Department of Mathematics, College of Education for Pure Science∕ Ibn-Al-Haitham, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-2643-0231
Ghaleb Ahmed Department of Mathematics, College of Educational for Pure Science lbn Al-Haitham, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0001-7763-1677
mahmood salim Department of Computer Science, College of Education, Al-Iraqia University, Baghdad, Iraq https://orcid.org/0000-0001-8924-2396
Lemya Abd Alameer Hadi Department of Communication Engineering, University of Technology, Baghdad, Iraq https://orcid.org/0000-0001-9258-9331

DOI:

https://doi.org/10.52866/ijcsm.2024.05.02.002

Keywords:

rad-Quasi-Prime Submodule, Quasi-Prime sub modules, Primary sub modules, Prime sub modules.

Abstract

Consider a left J-module I. The present study introduces the conception of rad-Quasi- Prime submodule, that serves as a dual popularization of both Quasi-Prime submodules and primary submodules. An apposite submodule A of an J-module named as rad- Quasi Prime if for all and with implies that either or . Numerous facts and characterizations that concerning are acquired.