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 …

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 …

Contents Page 1 THE SPECTRUM OF A MODULE CATEGORY HENNING KRAUSE Contents 0.
Introduction 3 1. The functor category 12 1.1. Preliminaries 12 1.2. Purity 13 2. De nable …

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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 …

Contents Page 1 THE SPECTRUM OF A MODULE CATEGORY HENNING KRAUSE Contents 0.
Introduction 3 1. The functor category 12 1.1. Preliminaries 12 1.2. Purity 13 2. De nable …

4.1. Purely equivalent and purely opposed modules 29 4.2. The dual of a de nable
subcategory 30 4.3. Pure-re exive modules 30 5. Ideals in the category of nitely presented …