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