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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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