Bi-Ordered Group
# Definition
Let $G$ be a Group and let $\leq$ be a Total Ordering on $G$. We say $G$ is a Bi-Ordered Group if it is a Left Ordered Group and a Right Ordered Group.
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Let $G$ be a Group and let $\leq$ be a Total Ordering on $G$. We say $G$ is a Bi-Ordered Group if it is a Left Ordered Group and a Right Ordered Group.