The Stacks project

Definition 10.67.1. Let $R$ be a ring. Let $M$ be an $R$-module.

  1. The associated primes of $M$ which are not minimal among the associated primes of $M$ are called the embedded associated primes of $M$.

  2. The embedded primes of $R$ are the embedded associated primes of $R$ as an $R$-module.

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