Purity, Spectra and Localisation

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Purity, Spectra and Localisation by Mike Prest, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mike Prest ISBN: 9781139637541
Publisher: Cambridge University Press Publication: June 4, 2009
Imprint: Cambridge University Press Language: English
Author: Mike Prest
ISBN: 9781139637541
Publisher: Cambridge University Press
Publication: June 4, 2009
Imprint: Cambridge University Press
Language: English

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. Although the Ziegler spectrum arose within the model theory of modules and plays a central role in that subject, this book concentrates specifically on its algebraic aspects and uses. The central aim is to understand modules and the categories they form through associated structures and dimensions, which reflect the complexity of these, and similar, categories. The structures and dimensions considered arise particularly through the application of model-theoretic and functor-category ideas and methods. Purity and associated notions are central, localisation is an ever-present theme and various types of spectrum play organising roles. This book presents a unified, coherent account of material which is often presented from very different viewpoints and clarifies the relationships between these various approaches.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. Although the Ziegler spectrum arose within the model theory of modules and plays a central role in that subject, this book concentrates specifically on its algebraic aspects and uses. The central aim is to understand modules and the categories they form through associated structures and dimensions, which reflect the complexity of these, and similar, categories. The structures and dimensions considered arise particularly through the application of model-theoretic and functor-category ideas and methods. Purity and associated notions are central, localisation is an ever-present theme and various types of spectrum play organising roles. This book presents a unified, coherent account of material which is often presented from very different viewpoints and clarifies the relationships between these various approaches.

More books from Cambridge University Press

Cover of the book A Handbook to Eddic Poetry by Mike Prest
Cover of the book Mental Disorders Around the World by Mike Prest
Cover of the book Mozart Studies 2 by Mike Prest
Cover of the book Who Donates in Campaigns? by Mike Prest
Cover of the book The Correspondence of Charles Darwin: Volume 26, 1878 by Mike Prest
Cover of the book Gender in South Asia by Mike Prest
Cover of the book The Cambridge Companion to Gilbert and Sullivan by Mike Prest
Cover of the book The Cambridge Companion to Textual Scholarship by Mike Prest
Cover of the book Cultivating Success in the South by Mike Prest
Cover of the book The Jewish Ghetto and the Visual Imagination of Early Modern Venice by Mike Prest
Cover of the book Paul, the Stoics, and the Body of Christ by Mike Prest
Cover of the book Transport in the Atmosphere-Vegetation-Soil Continuum by Mike Prest
Cover of the book Climate Justice and Historical Emissions by Mike Prest
Cover of the book Taking Liberty by Mike Prest
Cover of the book Public Participation and Legitimacy in the WTO by Mike Prest
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy