The small condition for modules with Noetherian dimension

A module $M$ with Noetherian dimension is said to satisfy the small condition, if for any small submodule $S$ of $M$ the Noetherian dimension of $S$ is strictly less than the Noetherian dimension of $M$. For an Artinian  module $M$, this is equivalent to that $M$ is semisimple. In this article, we i...

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Bibliographic Details
Main Authors: Nasrin Shirali, Hooriya Kavoosi Ghafi, Sayed Malek Javdannezhad
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2025-01-01
Series:Journal of Mahani Mathematical Research
Subjects:
Online Access:https://jmmrc.uk.ac.ir/article_4486_df1c7ba7f361603fb7d51f13823522c4.pdf
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