Rad-Quasi-Prime Submodules

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.

Keywords

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