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Showing 2024 · math.RTShow all
3 papers · 2 filters
math.RT2024
The rigidity of filtered colimits of n-cluster tilting subcategories
Ziba Fazelpour, Alireza Nasr-Isfahani
Let be an artin algebra and be an n-cluster tilting subcategory of -mod with . From the viewpoint of higher homological algebra, a question that natura…
math.RT2024
The stable category of monomorphisms between (Gorenstein) projective modules with applications
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Mohammad Amin Hamlehdari +1
Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This paper is concerned with the two categories of monomorphisms between finitely generated (G…
math.RT2024
Locally finitely presented Grothendieck categories and the pure semisimplicity conjecture
Ziba Fazelpour, Alireza Nasr-Isfahani
In this paper, we investigate locally finitely presented pure semisimple (hereditary) Grothendieck categories. We show that every locally finitely presented pure semisimple (resp.,…