Mathlib Map

Theorems · Definition · commutative algebra

Localization.awayEquivAdjoin

{R : Type u_1} →
  [inst : CommRing R] → (r : R) → Localization.Away r ≃ₐ[R] AdjoinRoot (Polynomial.C r * Polynomial.X - 1)

The R-AlgEquiv between the localization of R away from r and R with an inverse of r adjoined.

Defined in
Mathlib.RingTheory.Localization.Away.AdjoinRoot
Cited by
2 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing

Around this declaration

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

Cites16

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

Cited by2

Results whose statement or proof uses this declaration.