eg-Radical Supplemented Modules

Abstract

In this work, R will denote an associative ring with unity and all module are unital left R-modules. Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of these modules are investigated.

Keywords

• Essential Submodules
• g-Small Submodules
• Generalized Radical
• g-Supplemented Modules

References

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