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Memoirs of the American Mathematical Society
2001; 125 pp;
MSC: Primary 16; Secondary 18

Electronic ISBN: 978-1-4704-0298-3
Product Code: MEMO/149/707.E
List Price: $57.00
AMS Member Price: $34.20
MAA Member Price: $51.30

The Spectrum of a Module Category

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Henning Krause

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 isomorphism classes of indecomposable pure-injective modules which form the underlying set of this spectrum. The interplay between the spectrum and the category of finitely presented modules provides new insight into the geometrical and homological properties of the category of finitely presented modules. Various applications from representation theory of finite dimensional algebras are included.

The Spectrum of a Module Category

Base Product Code Keyword List: memo; MEMO; memo/149; MEMO/149; memo-149; MEMO-149; memo/149/707; MEMO/149/707; memo-149-707; MEMO-149-707

Online Product Code: MEMO/149/707.E

Title (HTML): The Spectrum of a Module Category

Author(s) (Product display): Henning Krause

Abstract:

Book Series Name: Memoirs of the American Mathematical Society

Publication Month and Year: 2013-03-17

Page Count: 125

Online ISBN 13: 978-1-4704-0298-3

Online ISSN: 0065-9266

Primary MSC: 16

Secondary MSC: 18

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Online Price 1 Label: List

Online Price 1: 57.00

Online Price 2 Label: AMS Member

Online Price 2: 34.20

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Online Price 3: 51.30

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Contents
- Contents
Chapter 0. Introduction
- Chapter 0. Introduction
Chapter 1. The functor category
- Chapter 1. The functor category

The Spectrum of a Module Category

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Table of Contents

The Spectrum of a Module Category

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Contents

Chapter 0. Introduction

Chapter 1. The functor category