OAI/Algebra/Finitistic/Ordinary/OrdinaryProductDimension.lean
2 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.LittleFinitistic.ProductModules.firstInflation_preservesHomologyline 13Source documentation
Exactness of actual inflation, with the module universe independent of the ring universe.
theorem firstInflation_preservesHomology : (firstInflation.{u,v} L R).PreservesHomology := … - theorem
OAI.LittleFinitistic.ProductModules.firstInflation_dimensionLEline 21Source documentation
Inflation from a factor preserves finite projective-dimension bounds, via actual projective covers.
theorem firstInflation_dimensionLE (n : ℕ) (M : ModuleCat.{v} L) [HasProjectiveDimensionLE M n] : HasProjectiveDimensionLE ((firstInflation L R).obj M) n := by …Mentions: OAI.LittleFinitistic.ProductModules.firstInflation