\begin{definition}[Definition:Sheaf of Modules Generated By Global Sections]
Let $\struct {X, \OO_X}$ be a ringed space.
A sheaf of modules $\FF$ over $\OO_X$ is '''generated by global sections''', if there is a set $I$ and an epimorphism
::$\begin{xy}\xymatrix@L+2mu@+1em{
\bigoplus_I \OO_X \ar[r] & \FF
}\end{xy}$
in the category of $\OO_X$-modules.
Category:Definitions/Algebraic Geometry
\end{definition}