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Theorems · Definition · commutative algebra

Algebra.SubmersivePresentation.ofSubsingleton

(R : Type u) →
  (S : Type v) →
    [inst : CommRing R] →
      [inst_1 : CommRing S] →
        [inst_2 : Algebra R S] → [Subsingleton S] → Algebra.SubmersivePresentation R S PUnit.{u_2 + 1} PUnit.{u_1 + 1}

If S = 0, this is the submersive presentation on one generator and one relation.

Defined in
Mathlib.RingTheory.Extension.Presentation.Submersive
Cited by
6 results in Mathlib
Foundations
Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraSubsingleton
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Algebra.SubmersivePresentation.ofSubsingleton_algebra_algebraMap · cited by 0SubmersivePresentation.of…Algebra.SubmersivePresentation.ofSubsingleton_algebra_smul · cited by 0SubmersivePresentation.of…Algebra.SubmersivePresentation.ofSubsingleton_map · cited by 0SubmersivePresentation.of…Algebra.SubmersivePresentation.ofSubsingleton_relation · cited by 0SubmersivePresentation.of…Algebra.SubmersivePresentation.ofSubsingleton_val · cited by 0SubmersivePresentation.of…Algebra.SubmersivePresentation.ofSubsingleton_σ' · cited by 0SubmersivePresentation.of…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgHom.toRingHom · cited by 490AlgHom.toRingHomRingHom.toAlgebra · cited by 337RingHom.toAlgebraMvPolynomial.aeval · cited by 298MvPolynomial.aevalAlgebra.SubmersivePresentation · cited by 52Algebra.SubmersivePresent…SubmersivePresentation.ofSubs…CITED BYCITES

Cites6

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Cited by6

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