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Results tagged with abelian-groups
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user 31233
For questions about groups whose elements commute.
6
votes
Constructively, is the unit of the “free abelian group” monad on sets injective?
Yes! Here is a proof which is slightly different from both your proof and the proof in Mines–Richman–Ruitenberg.
First define the similarity relation on $\mathrm{List}(R \times X)$ as in Mines–Richma …
- 3,312
4
votes
constructive Serre classes
Any subclass $\mathcal{C}$ of an abelian category determines a smallest Serre class containing it, by iteratively adding (the zero object and) the object $Y$ for any exact sequence $X \to Y \to Z$ whe …
- 3,312