Definition:Well-Ordered Integral Domain/Definition 1
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Definition
Let $\struct {D, +, \times \le}$ be an ordered integral domain whose zero is $0_D$.
$\struct {D, +, \times \le}$ is a well-ordered integral domain if and only if the ordering $\le$ is a well-ordering on the set $P$ of (strictly) positive elements of $D$.
Also see
- Results about well-ordered integral domains can be found here.