诺特模是抽象代数中一类满足升链条件的模，定义方式类似诺特环。

以下固定一个环 。设 为左 -模，当 满足下列等价条件时，称 为诺特模：

• 所有 的子模都是有限生成的。
• 对所有由 的子模构成的升链 ，存在 使得 ；换言之，此升链将会固定。

若将上述定义中的左模换成右模，可得到右诺特模的定义。

In abstract algebra, a Noetherian module is a module that satisfies the ascending chain condition on its submodules, where the submodules are partially ordered by inclusion.

Historically, Hilbert was the first mathematician to work with the properties of finitely generated submodules. He proved an important theorem known as Hilbert's basis theorem which says that any ideal in the multivariate polynomial ring of an arbitrary field is finitely generated. However, the property is named after Emmy Noether who was the first one to discover the true importance of the property.