Yves Diers

Categories of Commutative Algebras

• Gebundenes Buch

Produktbeschreibung

This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make commutative algebra and algebraic geometry work. Two universal constructions are presented and used here for the first time. The author shows that the concepts and constructions arising in commutative algebra and algebraic geometry are not bound so tightly to the absolute universe of rings, but possess a universality that is independent of them and can be interpreted in various categories of discourse. This brings new flexibility to classical commutative algebra and affords the possibility of extending the domain of validity and the application of the vast number of results obtained in classical commutative algebra. This innovative and original work will interest mathematicians in a range of specialities, including algebraists, categoricians, and algebraic geometers.

Produktdetails

• Verlag: Sydney University Press
• Seitenzahl: 280
• Erscheinungstermin: 2. Juli 1992
• Englisch
• Abmessung: 229mm x 152mm x 19mm
• Gewicht: 585g
• ISBN-13: 9780198535867
• ISBN-10: 0198535864
• Artikelnr.: 21133154

Inhaltsangabe

Introduction
Zariski categories
Classical objects
Spectra
Schemes
Jacobson ultraschemes
Algebraic varieties
Zariski toposes
Neat objects and morphisms
Flatness properties
Etale objects and morphisms
Terminators
Some constructions of Zariski categories.