Category:Artinian Modules

This category contains results about Artinian Modules.
Definitions specific to this category can be found in Definitions/Artinian Modules.

Let $A$ be a commutative ring with unity.

Let $M$ be an $A$-module.

Definition 1

$M$ is a Artinian module if and only if:

$M$ satisfies the descending chain condition.

Definition 2

$M$ is a Artinian module if and only if:

$M$ satisfies the minimal condition.