Theorems · Definition · ring theory

GradedAlgebra

{ι : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      [DecidableEq ι] →
        [AddMonoid ι] →
          [inst : CommSemiring R] →
            [inst_1 : Semiring A] → [inst_2 : Algebra R A] → (ι → Submodule R A) → Type (max u_1 u_3)

A special case of GradedRing with σ = Submodule R A. This is useful both because it can avoid typeclass search, and because it provides a more concise name.

Defined in

Mathlib.RingTheory.GradedAlgebra.Basic

Cited by

97 results in Mathlib

Foundations

Depth 20 from the axioms, rests on 219 definitions · uses propext, Quot.sound

Assumes

DecidableEqAddMonoidCommSemiringSemiringAlgebra