# Category:Bézout Domains

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This category contains results about Bézout Domains.

Definitions specific to this category can be found in Definitions/Bézout Domains.

### Definition 1

A **Bézout domain** is an integral domain in which the sum of two principal ideals is again principal.

### Definition 2

A **Bézout domain** is an integral domain in which every finitely generated ideal is principal.

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