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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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Pursuing an abelian categorical proof of the Zassenhaus Lemma

Fix an abelian category and suppose $M',M,N',N$ are sub-objects of a given object such that $M'\subset M$ and $N'\subset N$. Then there exists a canonical isomorphism $\frac{M'+(M\bigcap N)}{M'+(M\bi …
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