Kniha Ideals and Reality F. G. Ischebeck

Ideals and Reality

Projective Modules and Number of Generators of Ideals

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
2 568
This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philoso...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2004
Stránek
336
EAN
9783540230328
ISBN
3540230327
Enbook ID
02107988
Hmotnost
675
Rozměry
155 x 235 x 25

Kompletní popis

This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture.§The book gives a comprehensive introduction to basic commutative algebra, together with the related methods from homological algebra, which will enable students who know only the fundamentals of algebra to enjoy the power of using these tools. At the same time, it also serves as a valuable reference for the research specialist and aspotential course material, because the authors present, for the first time in book form, an approach here that is an intermix of classical algebraic K-theory and complete intersection techniques, making connections with the famous results of Forster-Swan and Eisenbud-Evans. A study of projective modules and their connections with topological vector bundles in a form due to Vaserstein is included. Important subsidiary results appear in the copious exercises. Even this advanced material, presented comprehensively, keeps in mind the young student as potential reader besides the specialists of the subject.

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