Theorems · Theorem · commutative algebra
Module.AEval.annihilator_top_eq_ker_aeval
∀ {R : Type u_3} {A : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] (a : A)
[inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : Module A M] [inst_5 : Module R M]
[inst_6 : IsScalarTower R A M] [FaithfulSMul A M], ⊤.annihilator = RingHom.ker (Polynomial.aeval a)- Defined in
- Mathlib.Algebra.Polynomial.Module.AEval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement · cited by 9,680
- Submodulestatement · cited by 7,192
- Polynomialstatement and proof · cited by 5,681
- Idealstatement · cited by 4,748
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement · cited by 3,236
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