Nullstellensatz
English
Etymology
Borrowed from German Nullstellensatz.
Noun
Nullstellensatz
- (mathematics) A theorem that establishes a fundamental relationship between geometry and algebra by relating algebraic sets to ideals in polynomial rings over algebraically closed fields.
German
Etymology
Nullstelle (“zero, root”) + -n- + Satz (“theorem”).
Noun
Nullstellensatz m (strong, genitive Nullstellensatzes, plural Nullstellensätze)
Declension
Declension of Nullstellensatz [masculine, strong]
| singular | plural | ||||
|---|---|---|---|---|---|
| indef. | def. | noun | def. | noun | |
| nominative | ein | der | Nullstellensatz | die | Nullstellensätze |
| genitive | eines | des | Nullstellensatzes | der | Nullstellensätze |
| dative | einem | dem | Nullstellensatz, Nullstellensatze1 | den | Nullstellensätzen |
| accusative | einen | den | Nullstellensatz | die | Nullstellensätze |
1Now rare, see notes.
Further reading
- Nullstellensatz on the German Wikipedia.Wikipedia de
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