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 $\left({S, \circ, \preceq}\right)$ 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 $\circ$.


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