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 …

… 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, …

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, …

… 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 …

… 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 …

… Gorenstein projective modules may provide an easier way to obtain the Gorenstein projective
modules. In [… Gorenstein projective modules over upper triangular matrix artin algebras. …

… , 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. …

… 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 …

… 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. Similarly, we define finitely generated Gorenstein-projective
modules by replacing all modules … of finitely generated Gorenstein-projective modules [17]. It …