OAI/Algebra/Finitistic/Ordinary/OrdinaryRightProjective.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.LittleFinitistic.OrdinarySimulation.finitePi_projectiveline 11Source documentation
The finite direct sum of actual projective terms is projective.
theorem finitePi_projective {R : Type u} [Ring R] {ι : Type v} [Fintype ι] (V : ι → Type w) [∀ i, AddCommGroup (V i)] [∀ i, Module R (V i)] [∀ i, Module.Projective R (V i)] : Module.Projective R (∀ i, V i) := … - abbrev
OAI.LittleFinitistic.OrdinarySimulation.underlyingRightComplexline 20Source documentation
The actual underlying right-B complex of the genuine dg bimodule.
abbrev underlyingRightComplex (P : CochainComplex (ModuleCat.{u} (Enveloping k B)) ℤ) : CochainComplex (ModuleCat.{u} Bᵐᵒᵖ) ℤ := …Mentions: OAI.LittleFinitistic.OrdinarySimulation.Enveloping
- theorem
OAI.LittleFinitistic.OrdinarySimulation.ordinaryO_right_projectiveline 25