Noncommutative Localization in Algebra and Topology
1st Edition
Published on 17. February 2011
978-0-511-89384-1 (ISBN)
Description
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 2 Halftones, unspecified; 10 Line drawings, unspecified
File size
2,65 MB
ISBN-13
978-0-511-89384-1 (9780511893841)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Andrew Ranicki
Noncommutative Localization in Algebra and Topology
Book
02/2006
Cambridge University Press
€79.60
Shipment within 15-20 days
Person
Andrew Ranicki is a Professor of Algebraic Surgery, at the School of Mathematics, University of Edinburgh.
Content
Dedication; Preface; Historical perspective; Conference participants; Conference photo; Conference timetable; 1. On flatness and the Ore condition J. A. Beachy; 2. Localization in general rings, a historical survey P. M. Cohn; 3. Noncommutative localization in homotopy theory W. G. Dwyer; 4. Noncommutative localization in group rings P. A. Linnell; 5. A non-commutative generalisation of Thomason's localisation theorem A. Neeman; 6. Noncommutative localization in topology A. A. Ranicki; 7. L2-Betti numbers, isomorphism conjectures and noncommutative localization H. Reich; 8. Invariants of boundary link cobordism II. The Blanchfield-Duval form D. Sheiham; 9. Noncommutative localization in noncommutative geometry Z. Skoda.
