Let R and S be rings and SCR a semidualizing bimodule. We investigate the relative Tor
functors Tor i ℳ ℒ C (−,−) Tor_i^ML_C(-,-) defined via C-level resolutions, and these functors …

Let C be a semidualizing module over a commutative noetherian ring R. We exhibit an
isomorphism Tor^F_CM_i(-,-)≅Tor^P_CM_i(-,-) between the bifunctors defined via C-flat and …

The binary tensor product, for modules over a commutative ring, has two different aspects: its
connection with universal bilinear maps and its adjointness to the internal hom-functor …

In previous papers (Mtiller [11, 12]) we have studied Morita dualities. These are
contravariant category equivalences between categories of right R-modules and left S …

Let A and B be associative rings with unit, Mod-A and Mod-B categories of unital right A-
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …

RSR R'R sufficient conditions for a bimodule RMS to induce a duality of this type, showing
also how these results could be applied to (ordinary) Morita duality. The study of these …

Given an s-unital ring $ R $, as defined by Tominaga in 1975, we show that the category of s-
unital $ R $-$ R $-bimodules is a unital monoidal category with the unit object $ R $ with …

Every duality between a full subcategory B of topological R-modules and a full subcategory
D of Mod-S which contains S and is closed under isomorphisms is determined in a natural …

In this paper, we prove that the Bass class with respect to a semidualizing bimodule C
contains all FP-injective S-modules. We introduce the definition of C-FP-injective modules …

In his paper [191 Morita introduced the concept of functorial dualities between two full
subcategories A& and.+? of the categories of right R-modules and left S-modules containing …