Theorems · Theorem · commutative algebra
LinearEquiv.isAssociatedPrime_iff
∀ {R : Type u_1} [inst : CommSemiring R] {I : Ideal R} {M : Type u_2} [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
{M' : Type u_3} [inst_3 : AddCommMonoid M'] [inst_4 : Module R M'] (l : M ≃ₗ[R] M'),
IsAssociatedPrime I M ↔ IsAssociatedPrime I M'- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- LinearEquivstatement and proof · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- LinearEquiv.injectiveproof · cited by 162
- IsAssociatedPrimestatement and proof · cited by 12
- IsAssociatedPrime.map_of_injectiveproof · cited by 2
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