Solitons: Differential equations, symmetries, and infinite-dimensional algebras
《Solitons: Differential equations, symmetries, and infinite-dimensional algebras》 · 第 562 页 · Appendix B.7「Noetherian and Artinian modules and rings」
The ring $A$ is called noetherian if $A$ as an $A$-module is noetherian. Thus a ring is noetherian if and only if every ideal is finitely generated.