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A Gordon--Green-type result for Gorenstein-projective modules
A. M. Bouhada, M. Laaraj
Let \(Λ\) be a \(\Z\)-graded Artin algebra which is Iwanaga--Gorenstein. We prove that \(Λ\) is CM-finite if and only if the category of gradable Gorenstein-projective modules has…
Koszul duality for finite-dimensional absolutely Koszul algebras
A. M. Bouhada
Let \(Λ\) be a finite-dimensional Koszul algebra. Using a description of the linear part of minimal projective resolutions in terms of Koszul duality, we prove that \(Λ\) is absolu…
Koszul Duality for Coherent Sheaves
A. M. Bouhada
We establish a bounded derived Koszul duality for infinite-dimensional Koszul algebras and derive the corresponding singular Koszul duality. We then specialize this framework to tw…
A Non-graded Koszul Duality and Its Applications
A. M. Bouhada
Let \(Λ\) be a finite-dimensional Koszul algebra with Koszul dual \(Λ^!\). We establish derived Koszul dualities at the level of bounded derived categories, both in the graded sett…