Localization and Sheaves: A Relative Point of View: 339 (Chapman & Hall/CRC Research Notes in Mathematics Series) - Tapa blanda

Pascual, Jara; Vidal, Conchi; Verschoren, A

 
9780582273726: Localization and Sheaves: A Relative Point of View: 339 (Chapman & Hall/CRC Research Notes in Mathematics Series)
Tapa blanda
ISBN 10: 0582273722 ISBN 13: 9780582273726
Editorial: Chapman and Hall/CRC, 1995

Sinopsis

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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Reseña del editor

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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Editorial
Chapman and Hall/CRC
Año de publicación
1995
Idioma
Inglés
ISBN 10 
0582273722
ISBN 13 
9780582273726
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
256
Contacto del fabricante
no disponible
Persona responsable
no disponible