Noncommutative Localization in Algebra and Topology
Part of London Mathematical Society Lecture Note Series
- Editor: Andrew Ranicki, University of Edinburgh
- Date Published: February 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511893841
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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.
Read more- The first book to deal with applications of non-commutative localization
- Written by acknowledged experts in various fields of algebra and topology
- Can be used as an introduction, with many references for further material
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×Product details
- Date Published: February 2011
- format: Adobe eBook Reader
- isbn: 9780511893841
- contains: 12 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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.
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