Let $X$ be a normal Noetherian algebraic space and $\mathscr{L}$ a line bundle on $X$. If $X$ is a scheme, then there is locally principal Weil divisor on $X$ that gives rise to $\mathscr{L}$. Is the same true in general? Something like this seems to be used without explanation on top of p. 263 of "Neron models," and I couldn't find a reference that would discuss such things (instead of assuming that they are known).



Does a line bundle on a normal Noetherian algebraic space come from a Weil divisor?
Same proof as the scheme case works: Choose a meromorphic section and take the associated Weil divisor. This makes sense because algebraic spaces are schemes in codimension one, see [Lemma Tag 0ADD](http://stacks.math.columbia.edu/tag/0ADD).


