Theorems · Inductive type · ring theory
SkewMonoidAlgebra
(k : Type u_1) → Type u_2 → [Zero k] → Type (max u_1 u_2)
The skew monoid algebra of G over k is the type of finite formal k-linear
combinations of terms of G, endowed with a skewed convolution product.
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 216 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Zero
Around this declaration
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by256
Results whose statement or proof uses this declaration.
- SkewPolynomialproof · cited by 124
- SkewMonoidAlgebra.coeffstatement and proof · cited by 110
- SkewMonoidAlgebra.singlestatement · cited by 83
- SkewMonoidAlgebra.sumstatement and proof · cited by 46
- SkewMonoidAlgebra.supportstatement and proof · cited by 45
- SkewMonoidAlgebra.ofstatement · cited by 15
- SkewMonoidAlgebra.erasestatement and proof · cited by 12
- SkewMonoidAlgebra.mapDomainstatement and proof · cited by 12
- SkewMonoidAlgebra.updatestatement and proof · cited by 12
- SkewMonoidAlgebra.extstatement and proof · cited by 10
- SkewMonoidAlgebra.coeffAddEquivstatement · cited by 9
- SkewMonoidAlgebra.coeff_mulstatement and proof · cited by 9
Showing the 200 most cited of 256.