GAP (Modules) - Appendix C: Overview of the Modules Package Source Code

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**Table:** *The **homalg** package files*
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

**Table:** *The **homalg** package files (continued)*
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

**Table:** *The **homalg** package files (continued)*
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

**Table:** *The **homalg** package files (continued)*
Filename `.gd`/`.gi`	Content
`LIMOD`	logical implications for modules

`LIHOM`	logical implications for module homomorphisms

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