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GradedModulePresentationsForCAP

Presentations for graded modules

2026.02-01

11 February 2026

Sebastian Gutsche
Email: sebastian.gutsche@gmail.com
Homepage: https://sebasguts.github.io
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57068 Siegen
Germany

Contents

1 Graded Module Presentations

1.1 GAP Categories

  1.1-1 IsGradedLeftOrRightPresentationMorphism
  1.1-2 IsGradedLeftPresentationMorphism
  1.1-3 IsGradedRightPresentationMorphism
  1.1-4 IsGradedLeftOrRightPresentation
  1.1-5 IsGradedLeftPresentation
  1.1-6 IsGradedRightPresentation

1.2 Constructors

  1.2-1 GradedPresentationMorphism
  1.2-2 AsGradedLeftPresentation
  1.2-3 AsGradedRightPresentation
  1.2-4 AsGradedLeftOrRightPresentation
  1.2-5 GradedFreeLeftPresentation
  1.2-6 GradedFreeRightPresentation
  1.2-7 UnderlyingPresentationObject
  1.2-8 UnderlyingHomalgRing
  1.2-9 GeneratorDegrees
  1.2-10 AffineDimension
  1.2-11 GradedLeftPresentations
  1.2-12 GradedRightPresentations

1.3-1 UnderlyingHomalgRing
1.3-2 UnderlyingMatrix

1.4 Non-Categorical Operations

1.4-1 StandardGeneratorMorphism
1.4-2 CoverByProjective

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