Let R and S be rings and RωS a semidualizing bimodule. We investigate when the double
functor TorS i (ω, Exti R (ω,−)) preserves epimorphisms and the double functor Exti R (ω …

Let $ R $ be a left coherent ring and $ S $ a right coherent ring, and let $ _RC_S $ be a
semidualizing bimodule. We show that the class $\mathcal {T} _C (R) $ of finitely presented …

Under some strong cograde conditions, we obtain two different filtrations of modules in terms
of the properties of cotransposes of modules with respect to a semidualizing bimodule. Then …

Let R and S be semiregular rings and U a semidualizing (R, S)-bimodule. We show that the
U-codominant dimensions of RU and US are identical. As an application, we get that the U …

1. Introduction Throughout this paper, all rings are associative rings with units. For a ring R, we
use Mod R to denote the cate Page 1 EXTENSION CLOSURE OF ADJOINT COTORSIONFREE …