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C Overview of the Modules Package Source Code

C.1 Relations and Generators

 Filename .gd/.gi Content HomalgRingMap operations and methods ring maps HomalgRelations a set of relations SetsOfRelations several sets of relations HomalgGenerators a set of generators SetsOfGenerators several sets of generators

C.2 The Basic Objects

 Filename .gd/.gi Content HomalgModule modules allowing several presentations linked with transition matrices HomalgSubmodule submodules allowing several sets of generators HomalgMap maps allowing several presentations of their source and target HomalgFiltration filtration of a module HomalgComplex (co)complexes of modules or of (co)complexes HomalgChainMap chain maps of (co)complexes consisting of maps or chain maps HomalgBicomplex bicomplexes of modules or of (co)complexes HomalgBigradedObject (differential) bigraded modules HomalgSpectralSequence homological and cohomological spectral sequences HomalgDiagram Betti diagrams

C.3 The High Level Homological Algorithms

 Filename .gd/.gi Content Modules subfactors, resolutions, parameterizations, intersections, annihilators ToolFunctors zero map, composition, addition, substraction, stacking, augmentation, and post dividing maps BasicFunctors cokernel, image, kernel, tensor product, Hom, Ext, Tor, RHom, LTensorProduct, HomHom, LHomHom, BaseChange (preliminary) OtherFunctors direct sum

C.4 Logical Implications for homalg Objects

 Filename .gd/.gi Content LIMOD logical implications for modules LIHOM logical implications for module homomorphisms

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