finitely generated left ideal

例句：

1. 1. The finitely generated leftideal is a crucial component of the mathematicalmodel.
   有限生成的左理想是数学模型的关键组成部分。
2. 2. The study of finitely generatedleft ideals has gained significant attention inrecent years.
   近年来，有限生成左理想的研究引起了广泛关注。
3. 3. In this paper, we introducea new method for generating finitely generatedleft ideals.
   在本文中，我们介绍了一种新的方法来生成有限生成左理想。