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FreydCategoriesForCAP

Freyd categories - Formal (co)kernels for additive categories

2025.07-02

6 July 2025

Sebastian Posur
Email: sebastian.posur@uni-siegen.de
Homepage: https://sebastianpos.github.io
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57068 Siegen
Germany

Martin Bies
Email: martin.bies@alumni.uni-heidelberg.de
Homepage: https://www.ulb.ac.be/sciences/ptm/pmif/people.html
Address:
Physique Théorique et Mathématique
Université Libre de Bruxelles
Campus Plaine - CP 231
Building NO - Level 6 - Office O.6.111
1050 Brussels
Belgium

Fabian Zickgraf
Email: fabian.zickgraf@uni-siegen.de
Homepage: https://github.com/zickgraf/
Address:
Walter-Flex-Str. 3
57068 Siegen
Germany

Contents

1 Basic operations
2 Additive closure
3 Example on additive closure
4 Adelman category
5 Category of rows
6 Example on category of rows
7 Category of columns
8 Example on category of columns
9 Category of graded rows and category of graded columns
10 Cokernel image closure
11 Freyd category
12 Examples and Tests
13 Add Functions
14 Examples on graded rows and columns
15 Example on tensor products in Freyd categories
16 The CAP category of graded module presentations for CAP by use of Freyd categories
Index

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