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Theorems · Definition · algebraic geometry

AlgebraicGeometry.algSpec.fullyFaithful

{R : CommRingCat} → (AlgebraicGeometry.algSpec R).FullyFaithful

Spec is fully faithful on R-algebras, with inverse Gamma.

Defined in
Mathlib.AlgebraicGeometry.Group.Affine
Cited by
0 results in Mathlib
Foundations
Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.hopfSpec.fullyFaithful · cited by 0hopfSpec.fullyFaithfulAlgebraicGeometry.bialgSpec.fullyFaithful · cited by 0bialgSpec.fullyFaithfulOpposite · cited by 8081OppositeAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · cited by 2333CommRingCatCommRingCat.carrier · cited by 1096CommRingCat.carrierCategoryTheory.Over · cited by 935CategoryTheory.OverAlgebraicGeometry.Spec · cited by 626AlgebraicGeometry.SpecCategoryTheory.Equivalence.symm · cited by 195Equivalence.symmCommAlgCat · cited by 96CommAlgCatCategoryTheory.Functor.FullyFaithful · cited by 87Functor.FullyFaithfulCategoryTheory.Equivalence.trans · cited by 57Equivalence.transAlgebraicGeometry.Scheme.Spec · cited by 57Scheme.SpecCategoryTheory.Equivalence.op · cited by 57Equivalence.opCategoryTheory.Equivalence.fullyFaithfulFunctor · cited by 17Equivalence.fullyFaithful…AlgebraicGeometry.algSpec · cited by 13AlgebraicGeometry.algSpecCategoryTheory.Over.opEquivOpUnder · cited by 9Over.opEquivOpUnderalgSpec.fullyFaithfulCITED BYCITES

Cites19

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Cited by2

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