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Theorems · Theorem · nonassociative algebras

NonUnitalSubalgebra.center_toNonUnitalSubring

∀ (R : Type u_3) (A : Type u_4) [inst : CommRing R] [inst_1 : NonUnitalNonAssocRing A] [inst_2 : Module R A]
  [inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A],
  (NonUnitalSubalgebra.center R A).toNonUnitalSubring = NonUnitalSubring.center A
Defined in
Mathlib.Algebra.Algebra.NonUnitalSubalgebra
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Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingNonUnitalNonAssocRingModuleIsScalarTowerSMulCommClass
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Module · cited by 20661ModuleCommRing · cited by 17173CommRingIsScalarTower · cited by 3896IsScalarTowerSMulCommClass · cited by 1927SMulCommClassNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalSubring.center · cited by 13NonUnitalSubring.centerNonUnitalSubalgebra.toNonUnitalSubring · cited by 9NonUnitalSubalgebra.toNon…NonUnitalSubalgebra.center · cited by 8NonUnitalSubalgebra.centerNonUnitalSubalgebra.center_to…CITED BYCITES

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