000			01623 a2200217 4500
999			_c52740 _d52740
008			200320b ||||| |||| 00| 0 eng d
020			_a9780521873086
082			_a511.3 PRE
100			_aPrest, Mike
245			_aPurity, spectra and localisation, Vol. 121
260			_bCambridge University Press, _c2009. _aCambridge:
300			_axxviii; 769 p. _bhb; _c24 cm.
365			_aGBP _b125.00
440			_aEncyclopedia of mathematics and its applications
520			_aIt 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.
650			_aMathematics
650			_aInfinity
650			_aCategories
650			_aLogic, Symbolic and Mathematical
942			_2ddc _cTD