Namespace UniqueFactorizationMonoid 4 theorems
- Nagata's criterion for a single prime element
UniqueFactorizationMonoid.of_isLocalization_away_of_prime0 below · cited by 1 · depth 30 - Unramifiedness forces e ∣ vₚ(f) for an e-th root
UniqueFactorizationMonoid.dvd_multiplicity_of_pow_eq_algebraMap_of_forall_isUnramifiedAt0 below · cited by 1 · depth 35 - Kummer normal form for elements of a UFD
UniqueFactorizationMonoid.exists_eq_unit_mul_pow_mul_pow_of_forall_dvd_multiplicity0 below · cited by 1 · depth 35 - Unit cocycles on basic opens of a UFD are coboundaries
UniqueFactorizationMonoid.exists_forall_mul_eq_of_cocycle_of_injective0 below · cited by 1 · depth 35