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math.CT2021★ 5 cited
Positive and negative extensions in extriangulated categories
Mikhail Gorsky, Hiroyuki Nakaoka, Yann Palu
We initiate the study of derived functors in the setting of extriangulated categories. By using coends, we adapt Yoneda's theory of higher extensions to this framework. We show tha…
math.CT2020★ 6 cited
On the lattices of exact and weakly exact structures
Rose-Line Baillargeon, Thomas Brüstle, Mikhail Gorsky +1
We initiate in this article the study of weakly exact structures, a generalization of Quillen exact structures. We introduce weak counterparts of one-sided exact structures and sho…