# Category:Unique Factorization Domains

Jump to navigation
Jump to search

This category contains results about Unique Factorization Domains.

Let $\struct {D, +, \circ}$ be an integral domain.

If, for all $x \in D$ such that $x$ is non-zero and not a unit of $D$:

- $(1): \quad x$ possesses a complete factorization in $D$
- $(2): \quad$ Any two complete factorizations of $x$ in $D$ are equivalent

then $D$ is a **unique factorization domain**.

## Pages in category "Unique Factorization Domains"

The following 12 pages are in this category, out of 12 total.