closed subalgebra

例句：

1. 1.This closed subalgebra is a keycomponent of the system's stability.
   这个封闭子代数是系统稳定性的关键组成部分。
2. 2.The researcher discovered a new closed subalgebra that could solve the problem moreefficiently.
   研究者发现了一个新的封闭子代数，可以更有效地解决这个问题。
3. 3. In thispaper, we introduce anew method to find closed subalgebras in linear algebraic systems.
   在本文中，我们介绍了一种新的方法来寻找线性代数系统中的封闭子代数。