Rájec was formerly part of the German Empire. In the German Empire, the place was called Raiza.
The place is now abandoned and the area belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Raiza | Austro-Hungary | Tetschen | before the Treaty of Saint-Germain |
| Rájec | Czechoslovakia | Děčín | after the Treaty of Saint-Germain |
| Raiza | Czechoslovakia | Děčín | after the Treaty of Saint-Germain |
| Raiza | German Empire | Tetschen | 1938 |
| Rájec | Czechoslovakia | Děčín | 1945 |
| - aufgelassen - | Czechoslovakia | Ústí nad Labem | 1992 |
| - aufgelassen - | Czech Republic | Ústí nad Labem | 1993 |