A correction in EGA I, 7.4.3

[maths644311798]

Corollary 7.4.3 has some mistakes (inherited from the original version).

(Corollary 7.4.3). On an integral prescheme $X$, every torsion-free quasi-coherent $O_X$-module of rank 1
(in particular, every invertible $O_X$-module) is isomorphic to an $O_X$-submodule of $R(X)$, and vice versa.

The "vice versa" part has counterexamples like skyscraper sheaves.

The correct statement should be

(correct Corollary 7.4.3). On an integral prescheme $X$, every torsion-free quasi-coherent $O_X$-module of rank 1
(in particular, every invertible $O_X$-module) is isomorphic to a nonzero and quasi-coherent $O_X$-submodule of $R(X)$, and vice versa.

[maths644311798]

Also, the prescheme in EGA is now called "scheme". I recommend changing the word "prescheme" in EGA to "scheme".