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Theorems · Theorem · commutative algebra

RingHom.finiteType_localizationPreserves

RingHom.LocalizationPreserves @RingHom.FiniteType

If S is a finite type R-algebra, then S' = M⁻¹S is a finite type R' = M⁻¹R-algebra.

Defined in
Mathlib.RingTheory.RingHom.FiniteType
Cited by
2 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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RingHom.localization_away_map_finiteType · cited by 0RingHom.localization_away…RingHom.finiteType_isLocal · cited by 0RingHom.finiteType_isLocalRingHom.FiniteType · cited by 46RingHom.FiniteTypeRingHom.LocalizationPreserves · cited by 13RingHom.LocalizationPrese…RingHom.IsStableUnderBaseChange.localizationPreserves · cited by 11IsStableUnderBaseChange.l…RingHom.finiteType_isStableUnderBaseChange · cited by 1RingHom.finiteType_isStab…RingHom.finiteType_localizati…CITED BYCITES

Cites4

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Cited by2

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