# Category:Ordered Structures

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This category contains results about **Ordered Structures**.

Definitions specific to this category can be found in Definitions/Ordered Structures.

An **ordered structure** $\struct {S, \circ, \preceq}$ is an algebraic system such that:

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

## Subcategories

This category has the following 9 subcategories, out of 9 total.

## Pages in category "Ordered Structures"

The following 4 pages are in this category, out of 4 total.