4 papers
Gorenstein-Projective Modules over the Ring of Dual Integers
Xiu-Hua Luo, Markus Schmidmeier
The ring of dual integers is the bounded polynomial ring $\mathbb Z[\eps]=\mathbb Z[T]/(T^2)$ with integer coefficients. We describe the (finitely generated) Gorenstein-projective…
Auslander-Reiten translations in the monomorphism categories of exact categories
Xiu-Hua Luo, Shijie Zhu
Let be a finite dimensional algebra. Let be a functorially finite exact subcategory of -mod with enough projective and injective objects and $\mathcal S (\mathc…
Separated monic correspondence of cotorsion pairs and semi-Gorenstein-projective modules
Xiu-Hua Luo, Shijie Zhu
Given a finite dimensional algebra over a field , and a finite acyclic quiver , let , where is the path algebra of over and is a mono…
A reflection equivalence for Gorenstein-projective quiver representations
Xiu-Hua Luo, Markus Schmidmeier
For a selfinjective algebra, and a finite quiver without oriented cycles, the algebra is a Gorenstein algebra and the category of Gorenstein-projective…