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math.RT2021★ 4 cited
Cellular Noetherian algebras with finite global dimension are split quasi-hereditary
Tiago Cruz
We prove that cellular Noetherian algebras with finite global dimension are split quasi-hereditary over a regular commutative Noetherian ring with finite Krull dimension and their…
math.RT2021
On properly stratified Gorenstein algebras
Tiago Cruz, René Marczinzik
We show that a properly stratified algebra is Gorenstein if and only if the characteristic tilting module coincides with the characteristic cotilting module. We further show that p…