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Noncommutative Localization in Algebra and Topology

Noncommutative Localization in Algebra and Topology


Part of London Mathematical Society Lecture Note Series

J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham, Z. Skoda
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  • Date Published: February 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521681605

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About the Authors
  • 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.

    • 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 2006
    • format: Paperback
    • isbn: 9780521681605
    • length: 328 pages
    • dimensions: 230 x 152 x 19 mm
    • weight: 0.458kg
    • contains: 12 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Editor

    Andrew Ranicki, University of Edinburgh
    Andrew Ranicki is a Professor of Algebraic Surgery, at the School of Mathematics, University of Edinburgh.


    J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham, Z. Skoda

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