Some Properties of r-Small Submodules

Abstract

In this work, some properties of r-small submodules are investigated. It is proved that the finite sum of r-small submodules is r-small. It is also proved that every homomorphic image of an r-small submodule is r-small.

Keywords

• Small Submodules
• Maximal Submodules
• Radical
• Supplemented Modules

References

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