# Download Purity, Spectra and Localisation (Encyclopedia of Mathematics and its Applications) fb2

### by Mike Prest

**ISBN:**0521873088**Category:**Math & Science**Author:**Mike Prest**Subcategory:**Mathematics**Other formats:**mbr docx azw lit**Language:**English**Publisher:**Cambridge University Press; 1 edition (July 6, 2009)**Pages:**798 pages**FB2 size:**1169 kb**EPUB size:**1214 kb**Rating:**4.5**Votes:**540

Prest's book is encyclopedic in scope An extensive index and thorough referencing also make this book an ideal reference.

Prest's book is encyclopedic in scope. It will certainly serve as the bible of model theory of modules for years to come. However, it is also a book of examples: the interested reader can start with a very concrete example and watch how, as the book develops, this example treads on more and more abstract notions. An extensive index and thorough referencing also make this book an ideal reference. Series: Encyclopedia of Mathematics and its Applications (Book 121). Hardcover: 798 pages.

Department of Mathematics University of Manchester. Mike Prest Publications and preprints. Purity, Spectra and Localisation, Encyclopedia of Mathematics and its Applications, Vol. 121, Cambridge University Press, 2009 (xxviii+769pp). Conference in celebration of the 60th Birthday of Bill Crawley-Boevey. Papers: published and in press. 1. Some model-theoretic aspects of torsion theories, J. Pure Applied Algebra, 12(3) (1978), 295-310. 2. Torsion and universal Horn classes of modules, J. London Math.

Purity, Spectra and Localisation. Series: Encyclopedia of Mathematics and its Applications (121). Recommend to librarian. Purity, Spectra and Localisation. Online ISBN: 9781139644242. provides relevant background material and a wealth of illustrative examples.

Purity, Spectra and Localization, Encyclopedia of Mathematics and its Applications. M. Prest, Purity, Spectra and Localization, Encyclopedia of Mathematics and its Applications, Vol. 121, Cambridge Univesity Press, 2009. Tame algebas (On algorithm of solving vector space problems. We describe the Ziegler spectrum of a Bézout domain B D+XQ where D is a principal ideal domain and Q is its field of fractions; in particular we compute the Cantor–Bendixson rank of this space. Using this, we prove the decidability of the theory of B-modules when D is sufficiently recursive.

Series: Encyclopedia of Mathematics and its Applications. File: PDF, . 3 MB. Читать онлайн.

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. Series: Encyclopedia of Mathematics and its Applications.

Home Prest, Mike Purity, Spectra and Localisation (Encyclopedia of Mathematics. Purity, Spectra and Localisation (Encyclopedia of Mathematics and its Applications). It may be used as an introductory graduate-level text, providing relevant background material and a wealth of illustrated examples.

Purity, spectra and localisation Prest, Mike Cambridge Academ .

Purity, spectra and localisation Prest, Mike Cambridge Academ 9780521873086 : It is possible to associate a topological space to the category of modules over any ring. This space, the Ziegler. Encyclopedia of Mathematics and Its Applications 121. Price: 17. 0

Purity, Spectra and Localisation. 0. Preface; Introduction; Part I. Modules: 1. Pp conditions; 2. Purity; 3. Pp pairs and definable subcategories; 4. Pp-types and pure-injectivity; 5. The Ziegler spectrum; 6. Rings of definable scalars; 7. m-dimension and width; 8. Examples; 9. Ideals in mod-R; A. Model theory; Part II. Functors: 10. Finitely presented functors; 11. Serre subcategories and localisation; 12. The Ziegler spectrum and injective functors; 13. Dimensions; 14. The Zariski spectrum and the sheaf of definable scalars; 15. Artin algebras; 16.

Encyclopedia of Mathematics and its Applications (Book 121).

It is possible to associate a topological space to the category of modules over any ring. Encyclopedia of Mathematics and its Applications (Book 121).

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