Where does “Nullstellensatz” come from?
Nullstellensatz (English) comes from German Nullstellensatz, from German Satz, from Middle High German saz, from Middle High German setzen, from Old High German sezzen, from Proto-West Germanic *sattjan, from Proto-Germanic satjaną, from Proto-Indo-European sodéyeti — Creates transitive imperfective verbs from roots.
Nullstellensatz (English): A theorem that establishes a fundamental relationship between geometry and algebra by relating algebraic sets to ideals in polynomial rings over algebraically closed fields
Definitions
- A theorem that establishes a fundamental relationship between geometry and algebra by relating algebraic sets to ideals in polynomial rings over algebraically closed fields
Ancestry of “Nullstellensatz”, step by step
| Step | Language | Word | Meaning |
|---|---|---|---|
| 1 | German | Nullstellensatz | Nullstellensatz |
| 2 | German | Satz | sentence; proposition, theorem; set |
| 3 | Middle High German | saz | — |
| 4 | Middle High German | setzen | to set, place down |
| 5 | Old High German | sezzen | to make sit, set, put |
| 6 | Proto-West Germanic | *sattjan | to set, place |
| 7 | Proto-Germanic | satjaną | to set, to place down |
| 8 | Proto-Indo-European | sodéyeti | to set, to seat, to cause to sit |
| 9 | Proto-Indo-European | -éyeti | Forms causative imperfective verbs from roots;... |
| 10 | Proto-Indo-European | -yeti | Creates transitive imperfective verbs from roots |