On modules with chain condition on non-small submodules

Year 2023, , 109 - 124, 09.01.2023

Avanish Kumar Chaturvedı Nirbhay Kumar

https://doi.org/10.24330/ieja.1195509

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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