# Category:Annihilators

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This category contains results about **Annihilators**.

Definitions specific to this category can be found in Definitions/Annihilators.

Let $R$ be a commutative ring.

Let $M$ and $N$ be modules over $R$.

Let $B : M \times N \to R$ be a bilinear mapping.

The **annihilator of $D \subseteq M$**, denoted $\map {\operatorname {Ann}_N} D$ is the set:

- $\set {n \in N : \forall d \in D: \map B {d, n} = 0}$

## Subcategories

This category has only the following subcategory.

## Pages in category "Annihilators"

The following 7 pages are in this category, out of 7 total.