We present applications of contramodule techniques to the Enochs conjecture about covers
and direct limits, both in the categorical tilting context and beyond. In the n-tilting–cotilting …

In this thesis we study torsion theory, subobjects and filtration properties in quasi-abelian,
exact and right triangulated categories. All such categegories fit into the larger framework of …

In [TV], Bertrand Toën and Michel Vaquié define a scheme theory for a closed monoidal
category (,⊗, 1) One of the key ingredients of this theory is the definition of a Zariski topology …

Given a good $ n $-tilting module $ T $ over a ring $ A $, let $ B $ be the endomorphism ring
of $ T $, it is an open question whether the kernel of the left-derived functor $ T\otimes^ L_B …

There are two fundamental obstructions to representing noncommutative rings via sheaves.
First, there is no subcanonical coverage on the opposite of the category of rings that …

We are interested in this result for various reasons: It allows to do homotopy theory in these
categories, it is a helpful tool for algebraic investigations (compare [7])-in this context the …

In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the
class of FP n-injective objects to be a torsion class. By doing so, we propose a notion of n …

Let R be a commutative noetherian local ring that is not Gorenstein. It is known that the
category of totally reflexive modules over R is representation infinite, provided that it …

Let S be a commutative ring with topologically noetherian spectrum, and let R be the
absolutely flat approximation of S. We prove that subsets of the spectrum of R parametrise …

A Serre class in an abelian category is a nonempty subclass J> of cĄ closed under
subobjects, quotient objects, and extensions. Th importance of such classes stems from the …