# Category:Ordered Structures

This category contains results about Ordered Structures.
Definitions specific to this category can be found in Definitions/Ordered Structures.

An ordered structure $\left({S, \circ, \preceq}\right)$ is a set $S$ such that:

$(1): \quad \left({S, \circ}\right)$ is an algebraic structure
$(2): \quad \left({S, \preceq}\right)$ is an ordered set
$(3): \quad \preceq$ is compatible with $\circ$.

## Subcategories

This category has the following 3 subcategories, out of 3 total.