1 citations · 1 across the 6 of their papers we have counts for
6 papers
Higher Auslander algebras of finite representation type
Shen Li
Let be an -Auslander algebra with global dimension . In this paper, we prove that is representation-finite if and only if the number of non-isomorphic indecomposabl…
Algebras with finite relative dominant dimension and almost n-precluster tilting modules
Shen Li, Shunhua Zhang
In this paper, we investigate the relative dominant dimension with respect to an injective module and characterize the algebras with finite relative dominant dimension. As an appli…
Gorenstein projective dimensions of modules over minimal Auslander-Gorenstein algebras
Shen Li, René Marczinzik, Shunhua Zhang
In this article we investigate the relations between the Gorenstein projective dimensions of -modules and their socles for minimal n-Auslander-Gorenstein algebras in the sen…
Relative contravariantly finite subcategories and relative tilting modules
Wei Han, Shen Li, Shunhua Zhang
Let be a finite dimensional algebra over an algebraically closed field . Let be a tilting -module and be the endomorphism algebra of . In this p…
A new characterization of Auslander algebras
Shen Li, Shunhua Zhang
Let be a finite dimensional Auslander algebra. For a -module , we prove that the projective dimension of is at most one if and only if the projective dimension of its…
Some applications of -tilting theory
Shen Li, Shunhua Zhang
Let be a finite dimensional algebra over an algebraically closed field , and be a partial tilting -module. We prove that the Bongartz -tilting complement of co…