Categorical aspects of the theory of modules over trusses are studied. Tensor product of
modules over trusses is defined and its existence established. In particular, it is shown that …

For k an algebraically closed field, the canonical k-algebras have been introduced and
investigated in [R2]. A different approach for obtaining the structure of the module category …

Tilting modules arose from representation theory of algebras and are known to furnish
equivalences between categories of modules. We single out some weaker properties which …

We study Tate cohomology of modules over a commutative Noetherian ring with respect to
semidualizing modules. First, we show that the class of modules admitting a Tate F_C …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …

We introduce and study" quasidualizing" modules over a commutative local noetherian ring
R. An artinian R-module T is quasidualizing if the homothety map [special characters …

Finally, let B and 8 be two rings, let 9 be a full subcategory of left R-modules closed under
direct sums and factor modules, let be a full subcategory of left S-modules containing ss and …

The aim of this paper is to introduce the concept of right and left semidualizing adjoint pair of
functors and study its main properties. This concept generalizes the concept of …

(1) Exta (T, T)= 0,(2) Ext:(T,-)= 0,(3) There is a short exact sequence 0--+ A,+ T>+ T”+ 0, with
T', T” being direct sums of summands of T. Then putting B= End T, we call (B, T, A) and …

Let R and S be rings and _SC_R a faithfully semidualizing bimodule. A left S-module M is
called Ding C-projective if there exists an exact sequence of C-projective left S-modules …