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A note on abelian envelopes

Published 2 Oct 2024 in math.CT and math.RT | (2410.02019v2)

Abstract: This is a short note bridging the gap between two notions of universal abelian categories associated to exact categories, namely, Rump's quotient categories and Bodzenta-Bondal's abelian envelopes. The established connection allows us to draw several easy conclusions, in particular, we answer some (baisc) questions raised by Bodzenta and Bondal.

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