Category:Definitions/Ordered Rings

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This category contains definitions related to Ordered Rings.
Related results can be found in Category:Ordered Rings.


Let $\struct {R, +, \circ}$ be a ring.

Let $\preceq$ be an ordering compatible with the ring structure of $\struct {R, +, \circ}$.


Then $\struct {R, +, \circ, \preceq}$ is an ordered ring.