Theorems · Definition · ring theory

MonoidAlgebra.supported

(R : Type u_1) →
  (S : Type u_2) →
    {M : Type u_3} →
      [inst : Semiring R] → [inst_1 : Semiring S] → [inst_2 : Module R S] → Set M → Submodule R (MonoidAlgebra S M)

The R-submodule of all elements of S[M] supported on a subset s of M.

Defined in

Mathlib.Algebra.MonoidAlgebra.Module

Cited by

9 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModule