Definition:Projective Module
Jump to navigation
Jump to search
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
Sources
There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page. |