Krull's principal ideal theorem [SEP] named after
Krull's principal ideal theorem
In commutative algebra, Krull's principal ideal theorem, named after Wolfgang Krull (1899–1971), gives a bound on the height of a principal ideal in a commutative Noetherian ring. The theorem is sometimes referred to by its German name, "Krulls Hauptidealsatz" ("Satz" meaning "proposition" or "theorem").
Precisely, if "R" is a Noetherian ring and "I" is a principal, proper ideal of "R", then each minimal prime ideal
's principal ideal theorem
- Krull's theorem
- Krull–Akizuki theorem
- Krull–Schmidt theorem
- Krull topology, an example of the profinite group
- Krull's intersection, a theorem within algebraic ring theory that describes the behaviors of certain local rings
In fiction and the arts.
- "Krull" (film), a 1983 heroic fantasy film
- "Krull" (video game), the arcade, Atari and pinball adaptations of that film
- Felix Krull, the title