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arXiv · 1106.1092

One-sided exact categories

Silvana Bazzoni·Septimiu Crivei
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Abstract

One-sided exact categories appear naturally as instances of Grothendieck pretopologies. In an additive setting they are given by considering the one-sided part of Keller's axioms defining Quillen exact categories. We study one-sided exact additive categories and a stronger version defined by adding the one-sided part of Quillen "obscure axiom". We show that some homological results, such as the Short Five Lemma and the 3 X 3 Lemma, can be proved in our context. We also note that the derived category of a one-sided exact additive category can be constructed.

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Silvana Bazzoni, Septimiu Crivei. 2011-06-06. One-sided exact categories. https://arxiv.org/abs/1106.1092

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