论文标题
是两个半群的联合的组，有可左订购的商
Groups that are the union of two semigroups have left-orderable quotients
论文作者
论文摘要
在本文中，我们表明，当且仅当$ g $具有非平凡的左订单商时，$ g $是两个适当的子群的结合。此外，如果$ g $是两个适当的半群的结合，则存在最低普通亚组$ n \ linlhd g $，其中$ g/n $是可及时订购且不繁琐的。
In this article, we show that a group $G$ is the union of two proper subsemigroups if and only if $G$ has a nontrivial left-orderable quotient. Furthermore, if $G$ is the union of two proper semigroups, then there exists a minimum normal subgroup $N\unlhd G$ for which $G/N$ is left-orderable and nontrivial.
