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FreydCategoriesForCAP

FreydCategoriesForCAP View code

Freyd categories - Formal (co)kernels for additive categories

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A package for various universal constructions mostly in an Ab-enriched context.

This package includes implementations (amongst others) of:

Freyd categories

Freyd categories provide a universal way of equipping a given additive category with cokernels. They can be identified with categories of finitely presented functors.

Paper (describing the underlying algorithms)

Sebastian Posur, A constructive approach to Freyd categories.

Martin Bies, Sebastian Posur, Tensor products of finitely presented functors.

Cokernel image closures

Given an additive category, closing its category of finitely presented functors under images in the big category of all additive functors can be made constructive.

Paper (describing the underlying algorithms)

Sebastian Posur, Closing the category of finitely presented functors under images made constructive.

Adelman categories

Adelman categories provide a universal way of turning an additive category into an abelian category.

Additive closures

Additive closures provide a universal way of equipping a given Ab-category with finite direct sums.

Paper (describing the underlying algorithms)

Sebastian Posur, Methods of constructive category theory.