Theorems · Definition · ring theory

TrivSqZeroExt.algebraBase

(R' : Type u) →
  (M : Type v) →
    [inst : CommSemiring R'] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R' M] →
          [inst_3 : Module R'ᵐᵒᵖ M] → [inst_4 : IsCentralScalar R' M] → Algebra (TrivSqZeroExt R' M) R'

R' as an algebra over TrivSqZeroExt R' M. Not an instance since it creates a different Algebra (TrivSqZeroExt R' M) (TrivSqZeroExt R' M) instance from TrivSqZeroExt.algebra'.

Defined in: Mathlib.Algebra.TrivSqZeroExt.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 35 from the axioms · uses propext, Quot.sound
Assumes: CommSemiring AddCommMonoid Module Module IsCentralScalar

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Modulestatement and proof · cited by 20,661
AddCommMonoidstatement and proof · cited by 12,281
Algebrastatement · cited by 11,388
CommSemiringstatement and proof · cited by 10,911
MulOppositestatement and proof · cited by 1,135
AlgHom.toRingHomproof · cited by 490
TrivSqZeroExtstatement · cited by 180
IsCentralScalarstatement and proof · cited by 39
TrivSqZeroExt.fstHomproof · cited by 3

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