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Theorems · Definition · category theory

HopfAlgCat.of

(R : Type u) → [inst : CommRing R] → (X : Type v) → [inst_1 : Ring X] → [HopfAlgebra R X] → HopfAlgCat R

The object in the category of R-Hopf algebras associated to an R-Hopf algebra.

Defined in
Mathlib.Algebra.Category.HopfAlgCat.Basic
Cited by
13 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
CommRingRingHopfAlgebra

Around this declaration

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

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • CommRingstatement and proof · cited by 17,173
  • Ringstatement and proof · cited by 7,463
  • HopfAlgebrastatement and proof · cited by 59
  • HopfAlgCatstatement · cited by 31

Cited by15

Results whose statement or proof uses this declaration.