mathlib documentation

category_theory.linear.linear_functor

Linear Functors #

An additive functor between two R-linear categories is called linear if the induced map on hom types is a morphism of R-modules.

Implementation details #

functor.linear is a Prop-valued class, defined by saying that for every two objects X and Y, the map F.map : (X ⟶ Y) → (F.obj X ⟶ F.obj Y) is a morphism of R-modules.

F.map_linear_map is an R-linear map whose underlying function is F.map.

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