homalg project

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102 repositories

CapAndHomalg.jl
Public
The CAP and homalg projects compatibility package for Julia
Julia
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GNU Lesser General Public License v3.0
•5•6•1•1•Updated Nov 6, 2025Nov 6, 2025
HigherHomologicalAlgebra
Public
A GAP framework for categorical homological algebra with special focus on homotopy categories and tilting equivalences
gap homological-algebra derived-category homotopy-category derived-equivalences triangulated-categories complex-categories
GAP
•6•8•4•1•Updated Nov 4, 2025Nov 4, 2025
FpCategories
Public
[READ-ONLY-SUBSPLIT] Finitely presented categories by generating quivers and relations
GAP
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GNU General Public License v2.0
•0•1•0•0•Updated Oct 31, 2025Oct 31, 2025
CategoricalTowers
Public
Towers of category constructors
category-theory completions category-constructors cocompletions categorical-towers finite-strict-product-completion category-of-presheaves category-of-copresheaves finite-colimit-cocompletion finite-limit-completion
GAP
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GNU General Public License v2.0
•5•9•29•4•Updated Oct 31, 2025Oct 31, 2025
ToolsForCategoricalTowers
Public
[READ-ONLY-SUBSPLIT] Tools for CategoricalTowers
GAP
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GNU General Public License v2.0
•0•0•0•0•Updated Oct 30, 2025Oct 30, 2025
FpLinearCategories
Public
[READ-ONLY-SUBSPLIT] Finitely presented linear categories by generating quivers and relations
GAP
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GNU General Public License v2.0
•0•0•0•0•Updated Oct 30, 2025Oct 30, 2025
HomalgProject.jl
Public
The homalg project compatibility package for Julia
julia category-theory gap oscar homological-algebra derived-category derived-functor homalg homotopy-category
Julia
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GNU Lesser General Public License v3.0
•7•5•0•1•Updated Oct 24, 2025Oct 24, 2025
Algebroids
Public
[READ-ONLY-SUBSPLIT] Algebroids and bialgebroids as preadditive categories generated by enhanced quivers
quivers finitely-presented-category algebroids bialgebroids path-algebras
GAP
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GNU General Public License v2.0
•4•1•0•0•Updated Oct 23, 2025Oct 23, 2025
PackageJanitor
Public
Assist GAP packages in complying with standards
Shell
•5•2•4•0•Updated Oct 22, 2025Oct 22, 2025
ZariskiFrames
Public
[READ-ONLY-SUBSPLIT] (Co)frames/Locales of Zariski closed/open subsets of affine, projective, or toric varieties
locales constructible-sets zariski-frames zariski-coframes zariski-topology locally-closed-sets quasi-affine-variety affine-variety projective-variety toric-variety
GAP
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GNU General Public License v2.0
•3•0•6•0•Updated Oct 22, 2025Oct 22, 2025
Locales
Public
[READ-ONLY-SUBSPLIT] Locales, frames, coframes, meet semi-lattices of locally closed subsets, and Boolean algebras of constructible sets
frames locales lattices heyting-algebras coframes coheyting-algebras boolean-algebras constructible-sets
GAP
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GNU General Public License v2.0
•4•2•0•0•Updated Oct 22, 2025Oct 22, 2025
LazyCategories
Public
[READ-ONLY-SUBSPLIT] Construct an equivalent lazy category out of a CAP category
GAP
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GNU General Public License v2.0
•2•0•0•0•Updated Oct 22, 2025Oct 22, 2025
InternalModules
Public
[READ-ONLY-SUBSPLIT] Modules over internal algebras
GAP
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GNU General Public License v2.0
•2•0•0•0•Updated Oct 22, 2025Oct 22, 2025
FunctorCategories
Public
[READ-ONLY-SUBSPLIT] Categories of functors
functors functor-category finitely-presented-category linear-category quiver-representations
GAP
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GNU General Public License v2.0
•6•3•0•0•Updated Oct 22, 2025Oct 22, 2025
FiniteCocompletions
Public
[READ-ONLY-SUBSPLIT] Finite (co)product/(co)limit (co)completions
GAP
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GNU General Public License v2.0
•0•0•0•0•Updated Oct 22, 2025Oct 22, 2025
CatReps
Public
[READ-ONLY-SUBSPLIT] Representations and cohomology of finite categories
GAP
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GNU General Public License v2.0
•3•0•0•0•Updated Oct 21, 2025Oct 21, 2025
FpCategories.jl
Public
Finitely presented categories by generating quivers and relations
0•0•0•0•Updated Sep 26, 2025Sep 26, 2025
homalg-project.github.io
Public
Homepage repository of the GitHub organization homalg-project
CSS
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Other
•1•1•0•0•Updated Sep 26, 2025Sep 26, 2025
QuotientCategories.jl
Public
[READ-ONLY-SUBSPLIT] Quotient categories
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Sep 26, 2025Sep 26, 2025
ToolsForCategoricalTowers.jl
Public
[READ-ONLY-SUBSPLIT] Tools for CategoricalTowers
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Sep 26, 2025Sep 26, 2025
FreydCategoriesForCAP.jl
Public
[READ-ONLY-SUBSPLIT] Formal (co)kernels for additive categories in Julia
Julia
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GNU General Public License v2.0
•1•0•0•0•Updated Sep 26, 2025Sep 26, 2025
CategoricalTowers.jl
Public
Julia version of Towers of category constructors, transpiled from GAP
Julia
•2•0•1•1•Updated Sep 26, 2025Sep 26, 2025
CAP.jl
Public
[READ-ONLY-SUBSPLIT] Categories, Algorithms, Programming for Julia
Julia
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GNU General Public License v2.0
•1•0•0•0•Updated Sep 22, 2025Sep 22, 2025
CAP_project
Public
CAP project -- Categories, Algorithms, and Programming
modules category-theory internalization homological-algebra additive-closure freyd-category adelman-category vector-spaces
GAP
•19•36•74•11•Updated Sep 22, 2025Sep 22, 2025
CAP_project.jl
Public
Julia versions of the CAP project, transpiled from GAP
Julia
•3•0•0•0•Updated Sep 22, 2025Sep 22, 2025
AdditiveClosuresForCAP.jl
Public
Additive closures for pre-additive categories
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Sep 17, 2025Sep 17, 2025
ModulePresentationsForCAP.jl
Public
[READ-ONLY-SUBSPLIT] Category R-pres for CAP in Julia
Julia
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GNU General Public License v2.0
•1•0•0•0•Updated Sep 17, 2025Sep 17, 2025
ZXCalculusForCAP.jl
Public
[READ-ONLY-SUBSPLIT] The category of ZX-diagrams in Julia
Julia
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GNU General Public License v2.0
•1•0•0•0•Updated Sep 17, 2025Sep 17, 2025
LinearAlgebraForCAP.jl
Public
[READ-ONLY-SUBSPLIT] Category of Matrices over a Field for CAP in Julia
Julia
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GNU General Public License v2.0
•1•0•0•0•Updated Sep 17, 2025Sep 17, 2025
LinearClosuresForCAP.jl
Public
Linear closures
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Sep 17, 2025Sep 17, 2025