Namespace integralClosure 6 theorems
- Integral closure of a complete DVR in a finite separable extension
integralClosure.finite_and_isDiscreteValuationRing_and_isAdicComplete_maximalIdeal0 below · cited by 29 · depth 9 - Two maps from the algebraic integers differ by a ℂ-automorphism
integralClosure.exists_complex_ringEquiv_apply_eq0 below · cited by 4 · depth 12 - Quotients of an integral closure in an algebraically closed field
integralClosure.isAlgClosed_of_surjective0 below · cited by 1 · depth 19 - Transitive automorphism action on maximal ideals forces local normalisation
integralClosure.isLocalRing_of_forall_isMaximal_exists_comap_galRestrict_eq0 below · cited by 1 · depth 21 - Integral closure in a finite separable extension as valuation subring
integralClosure.exists_valuationSubring_toSubring_eq_decompositionSubgroup_eq_top1 below · cited by 2 · depth 22 - Finiteness of the integral closure in a finite reduced algebra
integralClosure.moduleFinite_of_isReduced_of_charZero0 below · cited by 1 · depth 27