Read Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103)

Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103)

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Description:This volume is a sequel to "Manis Valuation and Prufer Extensions I," LNM1791. The Prufer 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 (=Prufer-Manis) valuations. While in Volume I Prufer 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 Grater'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. "We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103). To get started finding Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3319032127

Description: This volume is a sequel to "Manis Valuation and Prufer Extensions I," LNM1791. The Prufer 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 (=Prufer-Manis) valuations. While in Volume I Prufer 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 Grater'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. "We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103). To get started finding Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103)

Manis Valuations and Prüfer Extensions II (Lecture Notes in Mathematics Book 2103)

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