Solitons: Differential equations, symmetries, and infinite-dimensional algebras
《Solitons: Differential equations, symmetries, and infinite-dimensional algebras》 · 第 76 页 · Definition 3.18
A scheme $X$ is called locally noetherian if $X$ admits an affine open cover $X=\bigcup_iU_i$ such that all the affine coordinate rings $\Gamma(U_i,\mathcal O_X)$ are noetherian. If in addition $X$ is quasi-compact, $X$ is called noetherian.