… Frobenius extension, if a module over the extension ring is Gorenstein projective, then its
underlying module … notion of left-Gorenstein Frobenius extensions, and it is shown that over left-…

… of Gorenstein projective (injective) modules and Gorenstein homological dimensions along
Frobenius extension … that: for any Frobenius extension R⊂A and any left A-module M, A M is …

… a Frobenius extension, a module over the extension ring is Gorenstein projective if and only
if its underlying module … that for a Frobenius extension, a module over the extension ring is …

… extension θ : R → S is a Frobenius extension if and only if the natural S-R-bimodule S R S
is Frobenius… that a left S-module M S is Gorenstein projective if and only if the underlying R-…

… The next definitions provide the necessary details regarding the notions of Nakayama
automorphism and free Frobenius extensions. For a fuller account see [20] or [6, Section 2.2]. …

… of Gorenstein projective modules should not be a Quillen equivalence. We give a sufficient
and necessary condition for the Frobenius pair … to that the Frobenius functors induce mutually …

… We recall that an additive category 'if is called Frobenius, if <€ is an … A-modules is Frobenius
iff A is a Quasi-Frobenius ring. If X is the full subcategory of projectives and Ά is Frobenius, …

… Frobenius bimodules and Gorenstein flat modules. In this section, we prove that an R-module
X is a Gorenstein flat (… that for any Frobenius extension S ⊆ R of rings, an R-module X is a …

… Gorenstein projective modules may provide an easier way to obtain the Gorenstein projective
modules. In [… Gorenstein projective modules over upper triangular matrix artin algebras. …

… relations of Gorenstein homological properties of modules and rings … -Frobenius S–R-bimodule
X, we consider the relations of Gorenstein homological dimensions between S-modules …