… module C, then WP -Gorenstein (WI Gorenstein) modules coincide with Ω-Gorenstein
projective (injective) modules (Ω = C) [10,11]. (5) We note that the class Gw of W-Gorenstein left R-…

… Throughout this paper, R is an associative ring with identity and all modules are unitary.
For any left R-module M, idR(M) and fdR(M) will denote the injective and flat dimensions of M, …

Let A and B be rings and U a (B, A)-bimodule. Under some conditions, $$\Omega $$ Ω -Gorenstein
module over the formal triangular matrix ring $$T=\left( \begin{array}{cc} A \,\ &{}\…

… We show that over a left Noetherian ring R, a complex C of left R-modules is Gorenstein
injective if and only if C m is Gorenstein injective in R-Mod for all m∈Z. Also Gorenstein injective …

… -modules. We introduce a class of modules, which is called strongly W-Gorenstein modules,
… Many important classes of modules are included in these modules. It is proved that the class …

… modules, Gorenstein B -flat modules, Gorenstein AC-flat modules, Ω-Gorenstein flat modules
… We show that the class of all Gorenstein ( X , Y ) -flat modules have a strong stability. In …

… modules [4] and at the same time an extension to the noncommutative case of Ω-Gorenstein
modules [5]. … of projective dimension for flat modules V Gorenstein injectives and projectives …

… -Gorenstein modules, as a common generalization of some known modules such as modules
of … ring with an identity and by the term “module” we always mean a left R-module. For two …

… modules in modA and Gorenstein projective modules in mod(… projective (injective) modules
under smash product. Moreover… between Gorenstein projective modules over A and that over …

… the class of ω-Gorenstein (denoted by 𝒢 ω ) modules is just … the ω-Gorenstein resolution
dimension and the ω-Gorenstein … all modules in add R ω are obviously ω-Gorenstein modules. …