Algèbre commutative, Chapitre 10 = Commutative Algebra, Chapter 10
Depth, Regularity, Duality The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This volume of the Book of Commutative Algebra, Book 7 of the treatise, is a continuation of the earlier chapters. It introduces in particular the notions of depth and smoothness, fundamental in algebraic geometry. It ends with the introduction of the dualizing modules and the Grothendieck duality.
Algèbre commutative : Chapitres 8 et 9 = Commutative algebra : Chapters 8 and 9
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations.
Algèbre commutative : Chapitres 5 à 7 = Commutative algebra : Chapters 5 to 7
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations.This second volume of the Book of Commutative Algebra, Seventh Book of the treatise, introduces two fundamental notions in commutative algebra, that of algebraic integer and that of valuation, which have many applications in number theory and algebraic geometry.


