… Gorenstein projective (injective) dimensions of unbounded complexes under base change.
… that every Smodule of finite flat dimension is of finite projective dimension over R via ϕ. If X is …

… the study of Gorenstein homological dimensions of unbounded … of these dimensions under
faithfully flat (co-)base change. … Sections 3 and 4 focus on the Gorenstein injective dimension…

… strongly Gorenstein flat properties of complexes under change of … later Gorenstein injective
and Gorenstein flat dimension for … These Gorenstein dimensions are related to the Gorenstein …

… Gorenstein injective and Gorenstein flat dimensions of complexes. For Gorenstein projective
dimensions, it was shown in [21] that if φ : R → S is faithfully flat and module-finite, and dim …

… and showed that we can shift all our attention from morphisms … Gorenstein injective modules
are seen as dual to Gorenstein … Let us call an R-module Gorenstein definable injective if it is …

… of Gorenstein-projective and Gorenstein-injective objects as the … We also study
Gorenstein-injective dimensions in Gorenstein … the objects with Gorenstein-injective dimension ď n …

… at Gorenstein projective and Gorenstein injective modules, respectively, instead of the projective
and injective … It is shown that if we switch to the group ring RΓ, the inequality GFCD(RΓ) …

… investigate further the Gorenstein flat dimension and the cotorsion dimension of a complex.
… if it is left and right noetherian and has finite self injective dimension on both sides (see [11, …

… Gorenstein injective left R-modules from rings with finite left Gorenstein global dimension to
… of complexes is exactly the one of Gorenstein injective dimension of complexes defined by …

… pure injectivity for Gorenstein flat modules and pure injectivity … With a further finiteness
assumption on the flat dimension of … modify a classic result of Krause to compare pure-injectivity of …