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Algebroids

Algebroids and bialgebroids as preadditive categories generated by enhanced quivers

2024.03-01

8 March 2024

Mohamed Barakat
Email: mohamed.barakat@uni-siegen.de
Homepage: https://mohamed-barakat.github.io/
Address:
Walter-Flex-Str. 3
57068 Siegen
Germany

Florian Heiderich
Email: heiderich@mathematik.uni-siegen.de
Homepage: https://www.heiderich.org/math/
Address:
Walter-Flex-Str. 3
57068 Siegen
Germany

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

Kamal Saleh
Email: kamal.saleh@uni-siegen.de
Homepage: https://github.com/kamalsaleh
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57072 Siegen
Germany

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

Contents

1 Examples
2 Finitely presented categories generated by enhanced quivers
3 Finite categories from nerve data
4 Finite categories from data tables
5 Algebroids as preadditive categories generated by enhanced quivers
6 Algebroids from data tables
7 Category of algebroids
8 Bialgebroids as algebroids with more structure
9 Precompilation
10 Linear closures of path categories and their quotients
11 Tools
12 Examples and Tests
Index

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