ascending chain condition for left ideals

例句：

1. 1. The rising chain condition is acrucial factor in the development of a company.
   上升链条件是公司发展的关键因素。
2. 2. Theascending chain condition is a complex systemthat requires careful management.
   上升链条件是一个复杂的系统，需要仔细管理。
3. 3. The ascendingchain condition is a common problem faced bymany companies in their growth process.
   上升链条件是许多公司在成长过程中面临的常见问题。