Theorems · Definition · commutative algebra
Module.Presentation.RestrictScalarsData
{B : Type u_1} →
[inst : Ring B] →
{M : Type u_2} →
[inst_1 : AddCommGroup M] →
[inst_2 : Module B M] →
[DecidableEq B] →
(presM : Module.Presentation B M) →
[DecidableEq presM.G] →
{A : Type u_3} →
[inst_5 : CommRing A] →
[inst_6 : Algebra A B] → Module.Presentation A B → Type (max (max (max u_3 u_6) u_4) u_6 u_5)The additional data that is necessary in order to obtain a presentation of the restriction of scalars of a module.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Finsuppproof · cited by 5,255
- Finsupp.singleproof · cited by 943
- LinearMap.restrictScalarsproof · cited by 215
- Module.Relations.Gstatement and proof · cited by 103
- Module.Relations.Rproof · cited by 57
- Module.Presentation.toRelationsstatement and proof · cited by 49
- Module.Presentationstatement and proof · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- Module.Presentation.restrictScalarsstatement and proof · cited by 0