Definition:Order Embedding

Definition
Let $\struct {S, \preceq_1}$ and $\struct {T, \preceq_2}$ be ordered sets.

Let $\phi: S \to T$ be a mapping.

Also known as
An order embedding is also known as an order monomorphism.

Also see

 * Equivalence of Definitions of Order Embedding


 * Order Embedding is Injection