Category:Unique Factorization Domains
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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 14 pages are in this category, out of 14 total.