Lectures On Formally Real Fields PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Lectures On Formally Real Fields PDF full book. Access full book title Lectures On Formally Real Fields.
Author | : A. Prestel |
Publisher | : Springer |
Total Pages | : 134 |
Release | : 2007-01-05 |
Genre | : Mathematics |
ISBN | : 3540390936 |
Download Lectures on Formally Real Fields Book in PDF, ePub and Kindle
Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.
Author | : Alexander Prestel |
Publisher | : |
Total Pages | : 184 |
Release | : 1984 |
Genre | : Formally real fields |
ISBN | : 9780387138855 |
Download Analyse Complexe Book in PDF, ePub and Kindle
Author | : N. Jacobson |
Publisher | : Springer Science & Business Media |
Total Pages | : 333 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461298725 |
Download Lectures in Abstract Algebra Book in PDF, ePub and Kindle
The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II. In preparing this book we have had a number of objectives in mind. First and foremost has been that of presenting the basic field theory which is essential for an understanding of modern algebraic number theory, ring theory, and algebraic geometry. The parts of the book concerned with this aspect of the subject are Chapters I, IV, and V dealing respectively with finite dimen sional field extensions and Galois theory, general structure theory of fields, and valuation theory. Also the results of Chapter IlIon abelian extensions, although of a somewhat specialized nature, are of interest in number theory. A second objective of our ac count has been to indicate the links between the present theory of fields and the classical problems which led to its development.
Author | : Nathan Jacobson |
Publisher | : |
Total Pages | : 344 |
Release | : 1964 |
Genre | : Algebra, Abstract |
ISBN | : |
Download Lectures in Abstract Algebra: Theory of fields and galois theory Book in PDF, ePub and Kindle
Author | : A. Prestel |
Publisher | : Springer |
Total Pages | : 173 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540387684 |
Download Formally p-adic Fields Book in PDF, ePub and Kindle
Author | : Siegfried Bosch |
Publisher | : Springer |
Total Pages | : 255 |
Release | : 2014-08-22 |
Genre | : Mathematics |
ISBN | : 3319044176 |
Download Lectures on Formal and Rigid Geometry Book in PDF, ePub and Kindle
The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".
Author | : Manfred Droste |
Publisher | : Springer |
Total Pages | : 493 |
Release | : 2017-06-02 |
Genre | : Mathematics |
ISBN | : 331951718X |
Download Groups, Modules, and Model Theory - Surveys and Recent Developments Book in PDF, ePub and Kindle
This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.
Author | : Nathan Jacobson |
Publisher | : |
Total Pages | : 344 |
Release | : 1951 |
Genre | : Algebra, Abstract |
ISBN | : |
Download Lectures in Abstract Algebra: Introduction Book in PDF, ePub and Kindle
The three volume Lectures are based on Jacobson's graduate lectures on algebra at Johns Hopkins and Yale in the 1940's and early 1950's, and are very careful, comprehensive and classical in style, giving a general treatment of abstract algebra. The first volume gives a comprehensive introduction to abstract algebra and its basic concepts. The second volume deals with the theory of vector spaces, accompanied by examples and exercises. The third and final volume addresses field theory and Galois theory, and is not an easy read for the casual student, but a serious student who works at the material will be repaid for their efforts. All volumes include a considerable number of exercises are given that vary greatly in difficulty, while the texts in general are example-driven and user-friendly.
Author | : Dan Haran |
Publisher | : Springer Nature |
Total Pages | : 137 |
Release | : 2021-11-19 |
Genre | : Mathematics |
ISBN | : 3030891917 |
Download The Absolute Galois Group of a Semi-Local Field Book in PDF, ePub and Kindle
This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of distinguished semi-local algebraic (and other) extensions of the rational numbers as free products of the free profinite group on countably many generators and local Galois groups. This is an instance of a positive answer to the generalized inverse problem of Galois theory. Adopting both an arithmetic and probabilistic approach, the book carefully sets out the preliminary material needed to prove the main theorem and its supporting results. In addition, it includes a description of Melnikov's construction of free products of profinite groups and, for the first time in book form, an account of a generalization of the theory of free products of profinite groups and their subgroups. The book will be of interest to researchers in field arithmetic, Galois theory and profinite groups.
Author | : Max Dickmann |
Publisher | : Cambridge University Press |
Total Pages | : 652 |
Release | : 2019-03-21 |
Genre | : Mathematics |
ISBN | : 1107146720 |
Download Spectral Spaces Book in PDF, ePub and Kindle
Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.