Modern developments in representation theory rely heavily on homological methods. This
book for advanced graduate students and researchers introduces these methods from their …

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 …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

The general theory of locally coherent Grothendieck categories is presented. To each locally
coherent Grothendieck category a topological space, the Ziegler spectrum of is associated. It …

These notes present an introduction into the spectrum of the category of modules over a
ring. We discuss the general theory of pure-injective modules and concentrate on the …

Most of the model theory of modules works, with only minor modifications, in much more
general additive contexts (such as functor categories, categories of comodules, categories of …

This paper surveys the basic model-theoretic aspects of purity and presents 'pure'versions of
some embedding, preservation, and Birkhoff type theorems, like the pure embeddability of …

The main theme in classical ring theory is the structure theory of rings of a particular kind.
For example, no one text book in ring theory could miss the Wedderburn-Artin theorem …

The idea of purity pervades human culture, from religion through sexual and moral codes,
cleansing rituals and dietary rules, to stratifications of societies into castes. It does so to an …

1. Introduction. Let k be a field, and A be a connected finite-dimensional hereditary k-algebra
of tame representation type. For a description of finite-dimensional hereditary k-algebras we …