On modules with chain condition on non-small submodules

Abstract

In 1979, Fleury studied a class of modules with finite spanning dimension and dually a class of modules with ascending chain condition on non-small submodules was studied by Lomp and Ozcan in 2011. In the present work, we explore and investigate some new characterizations and properties of these classes of modules.

Keywords

• ns-Noetherian module
• Noetherian module
• spanning dimension
• small submodule
• hollow module

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