Septimiu Crivei (Kolozsvar): One-sided exact categories
<br><br>
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's
exact categories. We study one-sided exact additive categories and a
stronger version defined by adding the one-sided part of Quillen's
``obscure axiom''. We show that some homological results, such as the
Short Five Lemma and the $3\times 3$ Lemma, can be proved in our
context. This is a joint work with Silvana Bazzoni.