… In the case C=R, a totally C-reflexive module is a totally reflexive module, and G C -… and
reflexive modules to C-torsionless and C-reflexive modules, where C is a semidualizing module. …

… J0rgensen's notion of C-Gorenstein projective modules to the non-… Gorenstein projective
modules within this setting. We then study the resulting modules of finite Geprojective dimension…

… is a non-Gorenstein quotient of S of small colength, then every totally reflexive R-module is
free. … For (b), observe that S and R have the same Krull dimension and S is a Gorenstein local …

… reflexive modules over Gorenstein rings which generalize results of Serre and Samuel on
reflexive modules … We show that if R is a Gorenstein local ring of dimension at most two, then …

… In this section we treat the case where R is a Gorenstein local normal domain of dimension
d… a reflexive R-module M such that Λ is totally reflexive over R and of finite global dimension. …

… totally reflexive. We call a nonzero totally reflexive module trivial if it is a projective module.
A … A totally acyclic complex is an acyclic complex A whose dual HomR(A,R) is also acyclic. …

… This shows that X has finite projective dimension and … no totally reflexive modules. Theorem
1.5 shows that for almost … an almost gorenstein ring that admits a totally reflexive module. …

… of the R -module N can be computed locally over S . It is easy to see that this is the case
for flat dimension; this paper focuses on the Gorenstein flat dimension. Introduced by Enochs, …

… -Gorenstein-projective left modules are Gorenstein-projective (we call such an algebra left
weakly Gorenstein). … is also a semi-Gorenstein-projective -module of dimension 3 which is not …

… Gorenstein ring has non-free totally reflexive modules if and only if it is not regular. However,
over non-Gorenstein … Krull dimension at least 2 and that every totally reflexive module R/(x)-…