Definition:Artinian Module/Definition 2
Jump to navigation
Jump to search
Definition
Let $A$ be a commutative ring with unity.
Let $M$ be an $A$-module
$M$ is a Artinian module if and only if:
- $M$ satisfies the minimal condition.
Sources
- 1969: M.F. Atiyah and I.G. MacDonald: Introduction to Commutative Algebra: Chapter $6$: Chain Conditions