Theorems · Definition · commutative algebra
Algebra.Presentation.toGenerators
{R : Type u} →
{S : Type v} →
{ι : Type w} →
{σ : Type t} →
[inst : CommRing R] →
[inst_1 : CommRing S] → [inst_2 : Algebra R S] → Algebra.Presentation R S ι σ → Algebra.Generators R S ι- Cited by
- 104 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 24 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.Generatorsstatement · cited by 152
- Algebra.Presentationstatement and proof · cited by 70
Cited by129
Results whose statement or proof uses this declaration.
- Algebra.Presentation.relationstatement · cited by 49
- Algebra.PreSubmersivePresentation.jacobianproof · cited by 31
- Algebra.PreSubmersivePresentation.jacobiMatrixstatement · cited by 21
- Algebra.PreSubmersivePresentation.jacobian_eq_jacobiMatrix_detstatement and proof · cited by 12
- Algebra.Presentation.span_range_relation_eq_kerstatement · cited by 10
- Algebra.Presentation.relation_mem_kerstatement and proof · cited by 9
- Algebra.PreSubmersivePresentation.cotangentComplexAuxstatement and proof · cited by 9
- Algebra.PreSubmersivePresentation.jacobiMatrix_applystatement and proof · cited by 9
- Algebra.Presentation.compproof · cited by 7
- Algebra.PreSubmersivePresentation.aevalDifferentialproof · cited by 7
- Algebra.Presentation.differentialsRelationsproof · cited by 6
- Algebra.Presentation.aeval_val_relationstatement and proof · cited by 5