Definition:Projective Module

Definition

Let $A$ be a ring with unity.

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

$M$ is projective if and only if there exists an $A$-module $N$ such that the direct sum $M \oplus N$ is a free module.

Also see

• Results about projective modules can be found here.

Also see

• Definition:Injective Module

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