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Theorems · Definition · ring theory

NonUnitalSubring.centerCongr

{R : Type u} →
  [inst : NonUnitalNonAssocRing R] →
    {S : Type u_1} →
      [inst_1 : NonUnitalNonAssocRing S] → R ≃+* S → ↥(NonUnitalSubring.center R) ≃+* ↥(NonUnitalSubring.center S)

The center of isomorphic (not necessarily unital or associative) rings are isomorphic.

Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRing
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Around this declaration

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

NonUnitalSubring.centerCongr_apply_coe · cited by 0NonUnitalSubring.centerCo…NonUnitalSubring.centerCongr_symm_apply_coe · cited by 0NonUnitalSubring.centerCo…RingEquiv · cited by 1147RingEquivNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalSubring.center · cited by 13NonUnitalSubring.centerNonUnitalSubsemiring.centerCongr · cited by 2NonUnitalSubsemiring.cent…NonUnitalSubring.centerCongrCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.