Localization and Sheaves: A Relative Point of View: 339 - Brossura

Pascual, Jara; Vidal, Conchi; Verschoren, A

 
9780582273726: Localization and Sheaves: A Relative Point of View: 339
Brossura
ISBN 10: 0582273722 ISBN 13: 9780582273726
Casa editrice: Chapman and Hall/CRC, 1995

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Introduction
Grothendieck categories
Torsion in Grothendieck categories
Localization in Grothendieck categories
Gabriel filters
Localization in module categories
Compatibility
Stability
Reflecting torsion
The relative Artin-Rees condition
Relative fully bounded rings
Classical localization
Structure sheaves
Functorial behaviour
Bibliography
Index

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Chapman and Hall/CRC
Data di pubblicazione
1995
Lingua
Inglese
ISBN 10 
0582273722
ISBN 13 
9780582273726
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
256
Contatto del produttore
non disponibile
Persona responsabile
non disponibile