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math.CT2022
Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory
Mindy Huerta, Octavio Mendoza, Corina Sáenz +1
In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in extriangulated categories which extend the given ones for abelian categories. Although these…
math.CT2013
Homological systems in triangulated categories
Octavio Mendoza, Valente Santiago
We introduce the notion of homological systems for triangulated categories. Homological systems generalize, on one hand, the notion of stratifying systems in module categories,…