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Purity, Spectra and Localisation (Encyclopedia of Mathematics and its Applications)
Rok: 2009
ISBN: 9780521873086
OKCZID: 110324954
Citace (dle ČSN ISO 690):
PREST, Mike. Purity, spectra and localisation. Cambridge: Cambridge University Press, 2009. xxviii, 769 s. Encyclopedia of mathematics and its applications, 121.
Anotace
The central aim of this book 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, localization is an ever-present theme and various types of spectrum play organizing 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.