\begin{definition}[Definition:Noetherian Scheme]
Let $\struct {X, \OO_X}$ be a scheme.
Then $\struct {X, \OO_X}$ is '''noetherian''' {{iff}} $\struct {X, \OO_X}$ is locally noetherian and quasi-compact.
Category:Definitions/Algebraic Geometry
Category:Definitions/Schemes
\end{definition}