Theorems · Definition · ring theory

DirectSum.ofZeroRingHom

{ι : Type u_1} →
  [inst : DecidableEq ι] →
    (A : ι → Type u_2) →
      [inst_1 : (i : ι) → AddCommMonoid (A i)] →
        [inst_2 : AddMonoid ι] → [inst_3 : DirectSum.GSemiring A] → A 0 →+* DirectSum ι fun i => A i

of A 0 is a RingHom, using the DirectSum.GradeZero.semiring structure.

Defined in

Mathlib.Algebra.DirectSum.Ring

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqAddCommMonoidAddMonoidDirectSum.GSemiring