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 $\struct {S, \circ, \preceq}$ 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 $\circ$.