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math.RT2024
ICE-closed subcategories induced by the morphism category of projective modules
Rasool Hafezi, Alireza Nasr-Isfahani, Jiaqun Wei
Let be an Artin -algebra, and ${\rm proj}\mbox{-}Λ$ denotes the category of all finitely generated projective -modules. Define $\CP(Λ) := {\rm Mor}({\rm proj}\mbox{-}Λ)$.…
math.RT2024
A bijection between support -tilting subcategories and -cotorsion pairs in extriangulated categories
Zhiwei Zhu, Jiaqun Wei
Let be an extriangulated category with enough projectives and injectives. We give a new definition of tilting subcategories of and prove it coincides wi…