… to give homological descriptions of the Gorenstein dimensions … Q,M)→0 is exact for every
Gorenstein projective module Q. We … Gorenstein projective dimension admits a nice Gorenstein …

… projective dimension. We also examine the class of rings that have finite Gorenstein global
and weak dimensions and compute these dimensions, in terms of certain cohomological …

… of G-dimension 0 modules to the class of not necessarily finitely generated modules, and
dually they defined Gorenstein injective modules. Gorenstein homological algebra has been …

… Gorenstein projective dimension of a ring R is equal to the global Gorenstein injective
dimension … Ren and Liu in [14] studied Gorenstein homological dimensions for triangulated …

… corresponding generalizations to homological dimensions. In … R is a Gorenstein ring, in which
another type of homological … of Gorenstein-projective, Gorenstein-injective and Gorenstein…

… Gorenstein projective and flat modules over a Noetherian ring R. For an R-module M, we
show that Gorenstein projective dimension … prove that Gorenstein projective dimension of an R-…

… Gorenstein homological dimensions. Specifically, we present an alternative way of measuring
the Gorenstein projective (resp., injective) dimension … of Gorenstein homological algebra. …

… In chapter 1 we review Auslander's G-dimension using homological algebra in the … G-dimension
to complexes and start using hyperhomological algebra (an extension of homological …

… (Gorenstein) homological dimensions … (Gorenstein) homological dimensions. In this paper,
we extend to the noncommutative case the concepts of GC -projective module and dimension…

… Gorenstein homological dimension of G over R, denoted by GhdRG, as the Gorenstein flat
dimension … More general, we consider Gorenstein homological dimensions of the group under …