7 citations · 25 across the 21 of their papers we have counts for
11 papers · 1 filter
A Serre-type criterion for -Gorenstein rings and its application to Nakayama algebras
Dawei Shen
Let be a left and right Noetherian ring. We introduce a Serre-type condition , formulated in terms of the first occurrence and the flat dimension of indecomposable injec…
The magnitude for Nakayama algebras
Dawei Shen, Yaru Wu
The magnitude for algebras is a generalization of the Euler characteristic. We investigate the magnitude for Nakayama algebras. Using Ringel's resolution quiver, the existence and…
N-recollements and Virtually Gorenstein Algebras
Dawei Shen, Hao Su
The relation between the -recollements of stable categories of Gorenstein projective modules and the virtual Gorensteinness of algebras are investigated. Let , and be f…
Eventually homological isomorphisms and Gorenstein projective modules
Yongyun Qin
We prove that a certain eventually homological isomorphism between module categories induces a triangle equivalence between their singularity categories, Gorenstein defect categori…
A note on singular equivalences and idempotents
Dawei Shen
Let be an Artin algebra and let be an idempotent in . We study certain functors which preserve the singularity categories. Suppose and $\mat…
Differential projective modules over algebras with radical square zero
Dawei Shen
Let be a finite quiver and be the radical square zero algebra of over a field. We give a full and dense functor from the category of reduced differential projective mod…