Right Ordered Group
# Definition
Let $G$ be a Group and let $\leq$ be a Total Ordering on $G$. Then we say $G$ is a Right Ordered Group if $\forall g, h, h’ \in G$ $$h \leq h’ \Rightarrow hg \leq h’g$$
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Let $G$ be a Group and let $\leq$ be a Total Ordering on $G$. Then we say $G$ is a Right Ordered Group if $\forall g, h, h’ \in G$ $$h \leq h’ \Rightarrow hg \leq h’g$$