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 …

In this paper the authors investigate homological and homotopical aspects of a concept of
torsion which is general enough to cover torsion and cotorsion pairs in abelian categories …

The model-theoretic investigation of modules has led to ideas, techniques and results which
are of algebraic interest, irrespective of their model-theoretic significance. It is these aspects …

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 …

1. Introduction. 2. Proper classes of triangles and phantom maps. 3. The Steenrod and Freyd
category of a triangulated category. 4. Projectie objects, resolutions, and deried functors. 5 …

We prove a modified version of Ravenel's telescope conjecture. It is shown that every
smashing subcategory of the stable homotopy category is generated by a set of maps …

We use torsion pairs in stable categories and cotorsion pairs in modules categories to study,
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …

We study Artin algebras Λ and commutative Noetherian complete local rings R in connection
with the following decomposition property of Gorenstein-projective modules: We show that …

In this paper we develop the basic infinitesimal deformation theory of abelian categories.
This theory yields a natural generalization of the well-known deformation theory of algebras …

These notes are devoted to a single invariant, the Gabriel-Roiter measure of finite length
modules: this invariant was introduced by Gabriel (under the name 'Roiter measure') in 1972 …