Manis Valuations and Prüfer Extensions II

Manis Valuations and Prüfer Extensions II

AngličtinaMäkká väzbaTlač na objednávku
Knebusch Manfred
Springer, Berlin
EAN: 9783319032115
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Podrobné informácie

This volume is a sequel to “Manis Valuation and Prüfer Extensions I,” LNM1791. The Prüfer extensions of a commutative ring A are roughly those commutative ring extensions R / A, where commutative algebra is governed by Manis valuations on R with integral values on A. These valuations then turn out to belong to the particularly amenable subclass of PM (=Prüfer-Manis) valuations. While in Volume I Prüfer extensions in general and individual PM valuations were studied, now the focus is on families of PM valuations. One highlight is the presentation of a very general and deep approximation theorem for PM valuations, going back to Joachim Gräter’s work in 1980, a far-reaching extension of the classical weak approximation theorem in arithmetic. Another highlight is a theory of so called “Kronecker extensions,” where PM valuations are put to use in arbitrary commutative  ring extensions in a way that ultimately goes back to the work of Leopold Kronecker.

EAN 9783319032115
ISBN 3319032119
Typ produktu Mäkká väzba
Vydavateľ Springer, Berlin
Dátum vydania 2. apríla 2014
Stránky 190
Jazyk English
Rozmery 235 x 155
Krajina Switzerland
Čitatelia Professional & Scholarly
Autori Kaiser Tobias; Knebusch Manfred
Ilustrácie XII, 190 p.
Séria Lecture Notes in Mathematics