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Local Fields and Their Extensions: Second Edition
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Pages: 362
Authors: Ivan B. Fesenko
Categories: Mathematics
Type: BOOK - Published: 2002-07-17 - Publisher: American Mathematical Soc.

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This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years sin
Class Field Theory
Language: en
Pages: 206
Authors: Emil Artin
Categories: Mathematics
Type: BOOK - Published: 1968 - Publisher: American Mathematical Soc.

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This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book
Central Simple Algebras and Galois Cohomology
Language: en
Pages: 432
Authors: Philippe Gille
Categories: Mathematics
Type: BOOK - Published: 2017-08-10 - Publisher: Cambridge University Press

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The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such a
Topics in the Theory of Algebraic Function Fields
Language: en
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Authors: Gabriel Daniel Villa Salvador
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The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text ado
Hopf Algebras and Galois Module Theory
Language: en
Pages: 311
Authors: Lindsay N. Childs
Categories: Education
Type: BOOK - Published: 2021-11-10 - Publisher: American Mathematical Soc.

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Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surve