Definition:Totally Ordered Ring
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Definition
Let $\left({R, +, \circ, \preceq}\right)$ be an ordered ring.
If the ordering $\preceq$ is a total ordering, then $\left({R, +, \circ, \preceq}\right)$ is a totally ordered ring.
Sources
- Seth Warner: Modern Algebra (1965)... (previous)... (next): $\S 23$
