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categories of rings are not coregular#50

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ScriptRaccoon merged 1 commit intomainfrom
rings-are-not-coregular
Apr 10, 2026
Merged

categories of rings are not coregular#50
ScriptRaccoon merged 1 commit intomainfrom
rings-are-not-coregular

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@ScriptRaccoon ScriptRaccoon commented Apr 10, 2026

This PR adds the proofs that the categories of rings, R-algebras, and non-unital rings are not coregular. The proof is very similar to the category of groups. The normal closure is just too big, in the same way the generated ideal is just too big.

@ScriptRaccoon ScriptRaccoon merged commit dbf628e into main Apr 10, 2026
@ScriptRaccoon ScriptRaccoon deleted the rings-are-not-coregular branch April 10, 2026 04:36
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