Unifying some classical results on Artinian rings and modules
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.
Authors
- Greg Oman (ORCID: https://orcid.org/0000-0002-6949-8877)
- Zachary Mesyan (ORCID: https://orcid.org/0000-0001-5201-3418)
- Donovan Leyba
Institutions
- University of Colorado Colorado Springs (US)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2024-08-15
- DOI
- https://doi.org/10.1080/00927872.2024.2389949
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00