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Theorems · Theorem · ring theory

NonUnitalStarSubalgebra.mem_center_iff

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
  [inst_3 : Module R A] [inst_4 : IsScalarTower R A A] [inst_5 : SMulCommClass R A A] {a : A},
  a ∈ NonUnitalStarSubalgebra.center R A ↔ ∀ (b : A), b * a = a * b
Defined in
Mathlib.Algebra.Star.NonUnitalSubalgebra
Cited by
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Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringNonUnitalSemiringStarRingModuleIsScalarTowerSMulCommClass
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Module · cited by 20661ModuleCommSemiring · cited by 10911CommSemiringIsScalarTower · cited by 3896IsScalarTowerSMulCommClass · cited by 1927SMulCommClassStarRing · cited by 1686StarRingNonUnitalSemiring · cited by 339NonUnitalSemiringNonUnitalStarSubalgebra · cited by 196NonUnitalStarSubalgebraSubsemigroup.mem_center_iff · cited by 6Subsemigroup.mem_center_i…NonUnitalStarSubalgebra.center · cited by 6NonUnitalStarSubalgebra.c…NonUnitalStarSubalgebra.mem_c…CITED BYCITES

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