Localization and Sheaves: A Relative Point of View

Author:   Jara Pascual (University of Granada) ,  Conchi Vidal (University of Coruna) ,  A Verschoren (University of Antwerp, Belgium) ,  Conchi Vidal (Universidad de la Coruna, Spain)
Publisher:   Taylor & Francis Ltd
Volume:   339
ISBN:  

9780582273726


Pages:   256
Publication Date:   30 November 1995
Format:   Hardback
Availability:   Out of stock   Availability explained


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Localization and Sheaves: A Relative Point of View


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Overview

This book completely solves the problem of representing rings (and modules over them), which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset. In order to realise this, one has to develop the necessary localization theory as well as to study local equivalents of familiar concepts like the Artin-Rees property, Ore sets and the second layer condition. The first part of the book is introductory and self-contained, and might serve as a starting course (at graduate level) on localization theory within Grothendieck categories. The second part is more specialised and provides the basic machinery needed to effectively these structure sheaves, as well as to study their functorial behaviour. In this way, the book should be viewed as a first introduction to what should be called relative noncommutative algebraic geometry.

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Author:   Jara Pascual (University of Granada) ,  Conchi Vidal (University of Coruna) ,  A Verschoren (University of Antwerp, Belgium) ,  Conchi Vidal (Universidad de la Coruna, Spain)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Volume:   339
Dimensions:   Width: 21.00cm , Height: 1.60cm , Length: 28.00cm
Weight:   0.452kg
ISBN:  

9780582273726


ISBN 10:   0582273722
Pages:   256
Publication Date:   30 November 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Unknown
Availability:   Out of stock   Availability explained

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