The Spectrum of a Module Category

The Spectrum of a Module Category
Author :
Publisher : American Mathematical Soc.
Total Pages : 143
Release :
ISBN-10 : 9780821826188
ISBN-13 : 0821826182
Rating : 4/5 (88 Downloads)

Book Synopsis The Spectrum of a Module Category by : Henning Krause

Download or read book The Spectrum of a Module Category written by Henning Krause and published by American Mathematical Soc.. This book was released on 2001 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

The Spectrum of a Module Category
Language: en
Pages: 143
Authors: Henning Krause
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 concen
Rings and Categories of Modules
Language: en
Pages: 386
Authors: Frank W. Anderson
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introd
Equivariant Orthogonal Spectra and S-modules
Language: en
Pages: 132
Authors: M. A. Mandell
Categories: Mathematics
Type: BOOK - Published: 2002-08-19 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The last few years have seen a revolution in our understanding of the foundations of stable homotopy theory. Many symmetric monoidal model categories of spectra
Rings, Modules, and Algebras in Stable Homotopy Theory
Language: en
Pages: 265
Authors: Anthony D. Elmendorf
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book introduces a new point-set level approach to stable homotopy theory that has already had many applications and promises to have a lasting impact on th
Handbook of Homotopy Theory
Language: en
Pages: 1142
Authors: Haynes Miller
Categories: Mathematics
Type: BOOK - Published: 2020-01-23 - Publisher: CRC Press

DOWNLOAD EBOOK

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open pro