Mike Prest

Purity, Spectra and Localisation

ISBN: 978-1-139-63295-9
EAN: 9781139632959
Produktnummer: 16961885
Verlag: Cambridge University Press
Sprache: Englisch
Erscheinungsjahr: 2009
Seitenangabe: 0 S.
Plattform: PDF

Ebook (PDF Format)

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… Mehr