Definition:Associated Prime of Module

Definition
Let $A$ be a commutative ring with unity.

Let $M$ be a module over $A$.

Let $\mathfrak p$ be a prime ideal in $A$.

Also see

 * Equivalence of Definitions of Associated Prime of Module

Notation
The set of all associated primes of $M$ is denoted by:
 * $\map {\operatorname {Ass}_A } M$