7 citations · 10 across the 7 of their papers we have counts for
7 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…
Gorenstein projective bimodules via monomorphism categories and filtration categories
Wei Hu, Xiu-Hua Luo, Bao-Lin Xiong +1
We generalize the monomorphism category from quiver (with monomial relations) to arbitrary finite dimensional algebras by a homological definition. Given two finite dimension algeb…
Monic monomial representations I Gorenstein-projective modules
Xiu-Hua Luo, Pu Zhang
For a -algebra , a quiver , and an ideal of generated by monomial relations, let . We introduce the monic representations of over $…
Monic representations and Gorenstein-projective modules
Xiu-Hua Luo, Pu Zhang
Let be the path algebra of a finite quiver over a finite-dimensional algebra . Then -modules are identified with representations of over . This yields the noti…