A construction of Gorenstein-projective modules
ZW Li, P Zhang - Journal of Algebra, 2010 - Elsevier
We determine all the Gorenstein-projective modules over the T 2 -extension of a Gorenstein …
and M is an AB bimodule with MA and M B projective. Using this, we obtain a criterion for the …
and M is an AB bimodule with MA and M B projective. Using this, we obtain a criterion for the …
Gorenstein-projective and semi-Gorenstein-projective modules
CM Ringel, P Zhang - Algebra & Number Theory, 2020 - msp.org
… weakly Gorenstein.) The first aim of the paper is to provide a systematic treatment of the
relationship between semiGorenstein-projective modules and Gorenstein-projective modules, …
relationship between semiGorenstein-projective modules and Gorenstein-projective modules, …
[HTML][HTML] Gorenstein-projective modules and symmetric recollements
P Zhang - Journal of Algebra, 2013 - Elsevier
We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-projective
modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein, …
modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein, …
[HTML][HTML] Gorenstein-projective and semi-Gorenstein-projective modules. II
CM Ringel, P Zhang - Journal of Pure and Applied Algebra, 2020 - Elsevier
… local modules which are semi-Gorenstein-projective, but not torsionless. … a module M is
extensionless if Ext 1 ( M , Λ ) = 0 . An indecomposable semi-Gorenstein-projective module will …
extensionless if Ext 1 ( M , Λ ) = 0 . An indecomposable semi-Gorenstein-projective module will …
Monic representations and Gorenstein-projective modules
XH Luo, P Zhang - Pacific Journal of Mathematics, 2013 - msp.org
… We emphasize that here is not necessarily Gorenstein. By our main result, if we know all
the Gorensteinprojective A-modules, we know all the Gorenstein-projective -modules, and, in …
the Gorensteinprojective A-modules, we know all the Gorenstein-projective -modules, and, in …
[PDF][PDF] A brief introduction to Gorenstein projective modules
P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
… Gorenstein projective modules may provide an easier way to obtain the Gorenstein projective
modules. In [… Gorenstein projective modules over upper triangular matrix artin algebras. …
modules. In [… Gorenstein projective modules over upper triangular matrix artin algebras. …
[PDF][PDF] X-Gorenstein projective modules
… , where X is a class of modules that contains all projective modules. We show that the …
results on Gorenstein projective module remain true for the X-Gorenstein projective modules. …
results on Gorenstein projective module remain true for the X-Gorenstein projective modules. …
[HTML][HTML] Separated monic representations I: Gorenstein-projective modules
XH Luo, P Zhang - Journal of Algebra, 2017 - Elsevier
… projective k Q / I -modules. This fits our aim of describing the Gorenstein-projective Λ-modules…
of ( Q , I ) over A than projective Λ-modules. We give properties of the structural maps X p …
of ( Q , I ) over A than projective Λ-modules. We give properties of the structural maps X p …
Relative singularity categories and Gorenstein‐projective modules
XW Chen - Mathematische Nachrichten, 2011 - Wiley Online Library
… projective modules, then the category α(ω) is just the category of finitely-generated
Gorenstein-projective modules … Happel which says that for a Gorenstein ring, its singularity …
Gorenstein-projective modules … Happel which says that for a Gorenstein ring, its singularity …
An Auslander-type result for Gorenstein-projective modules
XW Chen - Advances in Mathematics, 2008 - Elsevier
… Gorenstein-projective modules. Similarly, we define finitely generated Gorenstein-projective
modules by replacing all modules … of finitely generated Gorenstein-projective modules [17]. It …
modules by replacing all modules … of finitely generated Gorenstein-projective modules [17]. It …
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