Let R be a left noetherian ring, S a right noetherian ring and UR a generalized tilting module
with S= End (UR). The injective dimensions of UR and US are identical provided both of …

Let $(R,\m) $ be a commutative noetherian local ring and let $\Gamma $ be a finite group. It
is proved that if $ R $ admits a dualizing module, then the group ring $ R\ga $ has a …

For a class of modules XX, we introduce the X X-transpose of a module with respect to a
bimodule, which unifies some well-known transposes. Let VV be a subclass of X X. The …

Let R be a left Noetherian ring, S a right Noetherian ring and R ω a Wakamatsu tilting
module with S= End (R ω). We introduce the notion of the ω-torsionfree dimension of finitely …

Let R be a left coherent ring, S a right coherent ring and RU a generalized tilting module,
with S= End (RU) satisfying the condition that each finitely presented left R-module X with …

In this paper, the extension closure of the subcategory of mod R consisting of k-torsionfree
modules with respect to a generalized tilting bimodule is discussed. Some classical results …