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Some homological properties of ind-completions and highest weight categories

We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a new proof for the fact that any abelian category is extension full in its ind-completion.

preprint2020arXivOpen access
Kevin Coulembier
math.RT
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Kevin Coulembier

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