Manis Valuations and Prüfer Extensions II

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Manis Valuations and Prüfer Extensions II

von

Kaiser, TobiasKnebusch, Manfred

BuchKartoniert, Paperback

Verkaufsrang13312inMathematik

EUR39,50

Beschreibung

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.

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ISBN/EAN978-3-319-03211-5

ProduktartBuch

EinbandKartoniert, Paperback

Verlag

Springer International Publishing

Erscheinungsdatum02.04.2014

Auflage2014

ReiheLecture Notes in Mathematics

Reihen-Nr.2103

Seiten204 Seiten

SpracheEnglisch

Artikel-Nr.5716520

WarengruppeMathematik

Weitere Details

Reihe

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Multiplication of Distributions

Mathematics Going Forward

Symplectic Integration of Stochastic Hamiltonian Systems

Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko

CAT(0) Cube Complexes

p-adic Banach Space Representations

The E. M. Stein Lectures on Hardy Spaces

Geometric Aspects of Functional Analysis

Stochastic Partial Differential Equations in Fluid Mechanics

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents

Local Limit Theorems for Inhomogeneous Markov Chains

Geometric Analysis on Real Analytic Manifolds

Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs

The Volume of Vector Fields on Riemannian Manifolds

Local Systems in Algebraic-Arithmetic Geometry

Potential Functions of Random Walks in ¿ with Infinite Variance

An Invitation to Coarse Groups

Representations of SU(2,1) in Fourier Term Modules

Numerical Approximations of Stochastic Maxwell Equations

Stable Klingen Vectors and Paramodular Newforms

Rank 2 Amalgams and Fusion Systems

Knotted Fields

The p-adic Simpson Correspondence and Hodge-Tate Local Systems

Maximal Solvable Subgroups of Finite Classical Groups

Modern Aspects of Dynamical Systems

Geometric and Analytic Aspects of Functional Variational Principles

Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Categorical Donaldson-Thomas Theory for Local Surfaces

Asymptotic Expansions and Summability

Normal 2-Coverings of the Finite Simple Groups and their Generalizations

Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

Functional Analytic Methods for Heat Green Operators

Helix Structures in Quantum Cohomology of Fano Varieties

Recent Stability Issues for Linear Dynamical Systems

Bayesian Nonparametric Statistics

Principal Symbol Calculus on Contact Manifolds

Braids, Conformal Module, Entropy, and Gromov's Oka Principle

Twisted Morse Complexes

An Introduction to KMS Weights

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