Theorems · Definition · ring theory

TrivSqZeroExt.kerIdeal

(R : Type u_1) →
  (M : Type u_2) →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] → [inst_3 : Module Rᵐᵒᵖ M] → [inst_4 : IsCentralScalar R M] → Ideal (TrivSqZeroExt R M)

The kernel of the AlgHom fstHom R R M

Defined in: Mathlib.Algebra.TrivSqZeroExt.Ideal
Cited by: 2 results in Mathlib
Foundations: Depth 34 from the axioms · uses propext, Quot.sound
Assumes: CommSemiring AddCommMonoid Module Module IsCentralScalar

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

Cites9

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
AddCommMonoidstatement and proof · cited by 12,281
CommSemiringstatement and proof · cited by 10,911
Idealstatement · cited by 4,748
MulOppositestatement and proof · cited by 1,135
RingHom.kerproof · cited by 363
TrivSqZeroExtstatement · cited by 180
IsCentralScalarstatement and proof · cited by 39
TrivSqZeroExt.fstHomproof · cited by 3

Cited by2

Results whose statement or proof uses this declaration.

TrivSqZeroExt.mem_kerIdeal_iff_inrstatement · cited by 0
TrivSqZeroExt.kerIdeal_sqstatement and proof · cited by 0