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Add the category of torsion abelian groups#150

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ScriptRaccoon merged 3 commits into
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torsion-abelian-groups
May 3, 2026
Merged

Add the category of torsion abelian groups#150
ScriptRaccoon merged 3 commits into
mainfrom
torsion-abelian-groups

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@ScriptRaccoon ScriptRaccoon commented May 2, 2026

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This PR adds the category of torsion abelian groups. It turns out to be much more well-behaved than the category of torsion-free abelian groups (#142). It is a Grothendieck abelian category and locally finitely presentable. The only difference to Ab is that it is not finitary algebraic (in fact, not locally strongly finitely presentable).

All properties have been decided.

@ScriptRaccoon ScriptRaccoon force-pushed the torsion-abelian-groups branch from 34104c8 to 15ee91a Compare May 2, 2026 14:42
@ScriptRaccoon ScriptRaccoon changed the base branch from main to latex-macros May 3, 2026 18:27
@ScriptRaccoon ScriptRaccoon force-pushed the torsion-abelian-groups branch from 15ee91a to a6becba Compare May 3, 2026 18:28
Base automatically changed from latex-macros to main May 3, 2026 18:30
@ScriptRaccoon ScriptRaccoon force-pushed the torsion-abelian-groups branch from a6becba to f30cdf5 Compare May 3, 2026 18:33
@ScriptRaccoon ScriptRaccoon force-pushed the torsion-abelian-groups branch from f30cdf5 to ca7407c Compare May 3, 2026 18:35
@ScriptRaccoon ScriptRaccoon merged commit 942caa5 into main May 3, 2026
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@ScriptRaccoon ScriptRaccoon deleted the torsion-abelian-groups branch May 3, 2026 18:39
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