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Algebroids

Algebroids and bialgebroids as preadditive categories generated by enhanced quivers

2025.07-06

10 July 2025

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 Linear closures of path categories and their quotients
10 Category of finitely presented associative unital algebras
11 Category of finitely presented associative unital matrix algebras
12 Tools
13 Precompilation
14 Examples and Tests
Index

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