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3 Linear closure of a category
 3.1 Functors

3 Linear closure of a category

3.1 Functors

3.1-1 ExtendFunctorToLinearClosureOfSource
‣ ExtendFunctorToLinearClosureOfSource( F, linear_closure, ring_map )( operation )

The arguments are a functor F:C\to D, some linear closure linear_closure of C over some commutative ring S and a function ring_map; where D is a linear category over some commutative ring R. The ring_map is a function that converts an element s in S to an element in R, such that ring_map defines a ring homomorphism. The output is the linear extension functor of F from linear_closure to D.

3.1-2 ExtendFunctorToLinearClosureOfSource
‣ ExtendFunctorToLinearClosureOfSource( F, linear_closure )( operation )

The arguments are a functor F:C\to D, some linear closure linear_closure of C over some commutative ring S; where D is a linear category over S. The output is the linear extension functor of F from linear_closure to D.

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