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arXiv · 2407.20488

Unifying some classical results on Artinian rings and modules

Donovan Leyba·Zachary Mesyan·Greg Oman
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Abstract

In this note, we introduce a very crude but natural notion of measure on the class of left R-modules over a ring R. We use this notion to give short proofs of some classical theorems on (left) Artinian rings and modules, due to Akizuki, Anderson, Hopkins, and Levitzki, as well as of some new results.

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Donovan Leyba, Zachary Mesyan, Greg Oman. 2024-07-30. Unifying some classical results on Artinian rings and modules. https://doi.org/10.1080/00927872.2024.2389949

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