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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	April 2014
Genre:	Schulbücher
ISBN:	9783319032115
EAN-Code:	9783319032115
Verlag:	Springer International Publishing
Einband:	Kartoniert
Sprache:	English
Serie:	#2103 - Lecture Notes in Mathematics
Dimensionen:	H 235 mm / B 155 mm / D 12 mm
Gewicht:	318 gr
Seiten:	204
Zus. Info:	Paperback
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.