n-extension closed subcategories inherit n-exangulated structure; n-exact categories are characterized as n-exangulated categories with monic inflations and epic deflations; (WIC) equivalent to weakly idempotent complete for extriangulated categories.
https://arxiv.org/abs/2108.04596
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$n$-Extension closed subcategories of $n$-exangulated categories
n-extension closed subcategories inherit n-exangulated structure; n-exact categories are characterized as n-exangulated categories with monic inflations and epic deflations; (WIC) equivalent to weakly idempotent complete for extriangulated categories.