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FpLinearCategories

Finitely presented linear categories by generating quivers and relations

2025.10-01

23 October 2025

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

Contents

1 Algebroids from data tables

1.1-1 IsAdmissibleAlgebroid

  1.2-1 QuotientCategory
  1.2-2 CategoryDatum
  1.2-3 BasesElements
  1.2-4 DecompositionIndicesOfBasesElements
  1.2-5 LabelsOfBasesElements
  1.2-6 LaTeXStringsOfBasesElements
  1.2-7 PowerOfArrowIdeal

  1.3-1 AssignSetOfObjects
  1.3-2 AssignSetOfGeneratingMorphisms
  1.3-3 ObjectIndex
  1.3-4 CoefficientsList
  1.3-5 IndicesOfSupportMorphisms
  1.3-6 CoefficientsOfSupportMorphisms
  1.3-7 SupportMorphisms
  1.3-8 DecompositionOfMorphismInAlgebroid
  1.3-9 DecompositionIndicesOfMorphismInAlgebroid
  1.3-10 OppositeAlgebroid
  1.3-11 TensorProductOfAlgebroids
  1.3-12 \*
  1.3-13 ElementaryTensor
  1.3-14 ElementaryTensor

1.4 Constructors

1.4-1 AlgebroidFromDataTables

1.5 GAP categories

  1.5-1 IsAlgebroidFromDataTables
  1.5-2 IsCellInAlgebroidFromDataTables
  1.5-3 IsObjectInAlgebroidFromDataTables
  1.5-4 IsMorphismInAlgebroidFromDataTables

2 Linear closures of path categories and their quotients

2.1 Constructors

2.1-1 LinearClosure
2.1-2 QuotientCategory

2.2-1 GroebnerBasis
2.2-2 ReducedGroebnerBasis

3 Precompilation

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