Dolní Rychnov was formerly part of the German Empire. In the German Empire, the place was called Unter Reichenau.
The place is now called Dolní Rychnov and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Unter-Reichenau | Austro-Hungary | Falkenau a. d. Eger | before the Treaty of Saint-Germain |
| Dolní Rychnov | Austro-Hungary | Falkenau a. d. Eger | before the Treaty of Saint-Germain |
| Dolní Rychnov | Czechoslovakia | Falknov nad Ohří | after the Treaty of Saint-Germain |
| Unter-Reichenau | Czechoslovakia | Falknov nad Ohří | after the Treaty of Saint-Germain |
| Unter Reichenau | German Empire | Falkenau a. d. Eger | 1938 |
| Dolní Rychnov | Czechoslovakia | Sokolov nad Ohří | 1945 |
| Dolní Rychnov | Czechoslovakia | Sokolov | 1992 |
| Dolní Rychnov | Czech Republic | Sokolov | 1993 |