… homological dimension based on the class of projectively coresolved Gorenstein flat modules
(PGF-modules… The resulting PGF-dimension of modules has several properties in common …

… the Gorenstein injective version of Theorem 2.20 above (as we will need it in Section 3, when
we deal with Gorenstein flat modules). … Next we introduce the Gorenstein flat dimension via …

… on which the classical homological algebra is based, with the Gorenstein projective and the
… that each Gorenstein flat module is a direct summand of a strongly Gorenstein flat module (…

… dimensions. We examine conditions which … all Gorenstein projective modules are Gorenstein
flat and establish the balance of the Gorenstein Tor-functor for modules of finite Gorenstein …

… The origin of Gorenstein homological algebra may date back … to further study Gorenstein flat
modules over triangular matrix … finite flat dimension, U A have finite flat or injective dimension…

… Gorenstein homological dimensions are … dimension associated to the cover Gorenstein flat
dimension of an arbitrary ring R, denoted by FCGFD(R) := sup{CGfdR(M) : M is an R-module …

… lie strictly between projective modules and Gorenstein flat modules. In … Gorenstein flat
dimension for modules and rings. Given a right R-module M, the strongly Gorenstein flat dimension …

… Gorenstein flat dimension is well behaved. Namely, we investigate the Gorenstein flat
dimension … class 𝒢ℱ(R) of all Gorenstein flat left R-modules is closed under extensions (Definition …

… Gorenstein homological dimension of G over R, denoted by GhdRG, as the Gorenstein flat
dimension of trivial RG-module R… It is proved that GhdSG ≤ GhdRG for any flat extension of …

… numerical values of the PGF-dimension (ie, of the relative homological dimension, which
is based on the class of PGF-modules [14]) and the Gorenstein flat dimension, in terms of the …