References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

The central aim of this book is to understand modules and the categories they form through
associated structures and dimensions, which reflect the complexity of these, and similar …

Given a cotorsion pair $(\mathcal {A},\mathcal {B}) $ in an abelian category $\mathcal {C} $
with enough $\mathcal {A} $ objects and enough $\mathcal {B} $ objects, we define two …

In this paper, we prove the existence of a flat cover and of a cotorsion envelope for any quasi-
coherent sheaf over a scheme (X, OX). Indeed we prove something more general. We define …

Module theory provides a general framework for the study of linear representations of
various mathematical objects. For example, given a field K, representations of a quiver Q …

Our aim is to give a fairly complete account on the construction of compatible model
structures on exact categories and symmetric monoidal exact categories, in some cases …

We put a monoidal model category structure on the category of chain complexes of quasi-
coherent sheaves over a quasi-compact and semi-separated scheme X. The approach …

In this article, we develop a theory of Grothendieck's six operations for derived categories
in\'etale cohomology of Artin stacks. We prove several desired properties of the operations …

A full subcategory of a Grothendieck category is called deconstructible if it consists of all
transfinite extensions of some set of objects. This concept provides a handy framework for …

We show that in a finitely accessible additive category every class of objects closed under
direct limits and pure epimorphic images is covering. In particular, the classes of flat objects …