A construction of Gorenstein-projective modules
By Zhi-wei Li, Pu Zhang. 2010
61 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/587ac314030ab6247b48f4ac752593d5bf9d5ee2
How researchers see this paper
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In Algebra and Number Theory
- Nan Gao
- Chrysostomos Psaroudakis
- Xiao-Wu Chen
- Pu Zhang
- Edward L. Green
- Xiu-Hua Luo
- Apostolos Beligiannis
- Oyvind Solberg
In Geometry and Topology
- Nan Gao
- Chrysostomos Psaroudakis
- Xiao-Wu Chen
- Pu Zhang
- Edward L. Green
- Xiu-Hua Luo
- Apostolos Beligiannis
- Oyvind Solberg
In Statistical and Nonlinear Physics
- Xiao-Wu Chen
- Chrysostomos Psaroudakis
- Nan Gao
- Pu Zhang
- Xiu-Hua Luo
- Edward L. Green
- Apostolos Beligiannis
Citations in the corpus
- Monic representations and Gorenstein-projective modules (2011, background): “It turns out that the category of the Gorenstein-projective modules is closely related to the submodule category (see [Li and Zhang 2010; Xiong and Zhang 2012]), or, in general, to the monomorphism category [Zhang 2011].”
- On Artin Algebras Arising from Morita Contexts (2013, methodology): “Recently Li and Zhang [26] determined the Gorenstein-projective modules over the triangular matrix algebra ( Λ Λ 0 Λ ) , when Λ is a Gorenstein Artin algebra, and using this they obtained a criterion for the Cohen-Macaulay finiteness of ( Λ Λ 0 Λ ) in case that Λ is a Gorenstein Artin algebra of fin”
- Gorenstein Homological Aspects of Monomorphism Categories via Morita Rings (2015, background): “, the authors in [47] showed that a module over”
- Monomorphism categories, cotilting theory, and Gorenstein-projective modules (2011, background): “that Tn(A) is again Gorenstein (for n= 2 see e.g. [FGR] or [H2]; in general see e.g. [XZ], Lemma 4.1(i)), and hence (ii) follows from (i). Corollary 4.1(ii) was obtained for n= 2 in Theorem 1.1(i) of [LZ2] (see also Proposition 3.6(i) of [IKM]). 4.2. Dually, denote D(AA)⊥ by CoCM(A). An A-module Gis”
- The Stable Monomorphism Category of a Frobenius category (2009, methodology): “We are inspired by a computational result by Li and Zhang on Gorenstein-projective modules ([27]).”