Associative rings and algebras Chain, growth and finiteness conditions Concept
Artinian module
Summary
An Artinian module is a module in which every decreasing chain of submodules stops after finitely many steps. It is the condition dual to that of a Noetherian module. A module is both Artinian and Noetherian exactly when it has finite length.
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| Tag | YQNZTQGP1X |
|---|---|
| URI | m2://YQNZTQGP1X |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16P20, 13E10 |
| Specializes | Module over a ring |
| Same as | |
| Changed | 2 November 2026 |
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