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Theorems · Definition · ring theory

AddMonoidAlgebra.update

{R : Type u_1} → {M : Type u_4} → [inst : Semiring R] → M → R → AddMonoidAlgebra R M → AddMonoidAlgebra R M

Replace the m-th coefficient of an element x of the monoid algebra by a given value r : R. If r = 0, this is equal to x.erase m.

Defined in
Mathlib.Algebra.MonoidAlgebra.Defs
Cited by
2 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring

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