Theorems · Definition · linear algebra
ExteriorAlgebra.map
{R : Type u1} →
[inst : CommRing R] →
{M : Type u2} →
[inst_1 : AddCommGroup M] →
[inst_2 : Module R M] →
{N : Type u4} →
[inst_3 : AddCommGroup N] →
[inst_4 : Module R N] → (M →ₗ[R] N) → ExteriorAlgebra R M →ₐ[R] ExteriorAlgebra R NThe morphism of exterior algebras induced by a linear map.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- AlgHomstatement · cited by 3,236
- QuadraticFormstatement · cited by 507
- ExteriorAlgebrastatement · cited by 131
- CliffordAlgebra.mapproof · cited by 15
Cited by13
Results whose statement or proof uses this declaration.
- ExteriorAlgebra.map_apply_ιstatement · cited by 3
- ExteriorAlgebra.map_injectivestatement and proof · cited by 1
- ExteriorAlgebra.leftInverse_map_iffstatement and proof · cited by 1
- ExteriorAlgebra.toTrivSqZeroExt_comp_mapstatement · cited by 1
- ExteriorAlgebra.ιInv_comp_mapstatement and proof · cited by 1
- ExteriorAlgebra.map_apply_ιMultistatement and proof · cited by 1
- ExteriorAlgebra.map_comp_ιMultistatement · cited by 0
- ExteriorAlgebra.map_idstatement · cited by 0
- ExteriorAlgebra.map_injective_fieldstatement · cited by 0
- ExteriorAlgebra.map_surjective_iffstatement and proof · cited by 0
- ExteriorAlgebra.ι_range_map_mapstatement · cited by 0
- ExteriorAlgebra.map_comp_mapstatement · cited by 0