… the theorem the left Gorenstein global dimension of R and denoted by l.Ggldim(R). If R is
commutative, then this quantity is simply called Gorenstein global dimension of R and denoted …

… rings (rings of finite self-injective dimension) is parallel to the Auslander-Buchsbaum-Serre
characterization of regular rings (rings of finite global dimension), but to make the analogy …

… As a consequence, we prove that if R is a left and right GF-closed, then the Gorenstein weak
global dimension of R is left–right symmetric and it is related to the cohomological invariants …

… It has become increasing clear that the most striking homological property satisfied by the
category of modules over these rings is that they have a certain relative finite global …

… We study the relative Gorenstein projective global dimension of a ring with respect to a …
We prove that this relative global dimension is finite if and only if the injective dimension of …

… Gorenstein global and Gorenstein weak global dimensions. … Gorenstein weak global
dimension together with finite projective dimension of flat modules implies finite Gorenstein global …

… , the Gorenstein projective, injective, and flat dimensions of M (see [… that is used to define the
global dimension of R; see [12, … in the theorem the left Gorenstein global dimension of R and …

… investigate the weak Gorenstein global dimension. … Gorenstein global dimensions coincide.
We first show, for GFclosed rings, that the left and right weak Gorenstein global dimensions …

Let 𝒜 be an abelian category. In this paper, we investigate the global ( 𝒳 , 𝒴 ) -Gorenstein
projective dimension gl.GPD ( 𝒳 , 𝒴 ) ( 𝒜 ) , associated to a GP-admissible pair ( 𝒳 , 𝒴 ) . We …

… that have finite Gorenstein global and weak dimensions and compute these dimensions, in
terms of … In that case, we say that R has finite left Gorenstein global dimension and define the …