We introduce heavily separable functors of the second kind and study them in three different
situations. The first of these is with restrictions and extensions of scalars for modules over …

Let R be an associative ring which is not necessarily commutative. For any torsion theory τ
on the category of left R-modules and for any nonnegative integer n we define and study the …

An exact sequence 0--f L--+ M-+ N-+ 0 of right A-modules (where A is a ring) is called pure if
its exactness is preserved when tensoring it with any left A-module ([3]; cf. also [ZO] for …

Full article: (n, t)-Quasi-Projective and Equivalences Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

We prove a Maschke type theorem for the category of Doi–Hopf modules. In fact, we give
necessary and sufficient conditions for the functor that forgets the C-coaction to be …

ON TENSOR PRODUCTS OF RINGS AND EXTENSION CONJECTURES Page 1 JOURNAL
OF COMMUTATIVE ALGEBRA Volume 11 Number 4, Winter 2009 ON TENSOR PRODUCTS …

We provide a general method to construct the Tate–Vogel homology theory for a general
half-exact functor with one variable, aiming at a good generalization of Cohen–Macaulay …

In the paper [La] l have introduced a non—commutative deformation functor Def for a family
V={Vin1 of right A—modules, where A is a k-algebra, ka field. When dim; c Extilfl/g,< 00 for …

The goal of this book is to give a comprehensive exposition of the relations among the
following three topics: tensor categories (such as a category of representations of a quantum …

Let R be a Noetherian ring and I an ideal of R. Let M be an I-cofinite and N a finitely
generated R-module. It is shown that the R-modules $ Tor_ {i}^{R}(N, M) $ are I-cofinite for …