Separable Algebras And Galois Theory
DOWNLOAD
Download Separable Algebras And Galois Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Separable Algebras And Galois Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Separable Algebras And Galois Theory
DOWNLOAD
Author : James B. Lipton
language : en
Publisher:
Release Date : 1979
Separable Algebras And Galois Theory written by James B. Lipton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Galois theory categories.
The Separable Galois Theory Of Commutative Rings Second Edition
DOWNLOAD
Author : Andy R. Magid
language : en
Publisher: CRC Press
Release Date : 2014-07-14
The Separable Galois Theory Of Commutative Rings Second Edition written by Andy R. Magid and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.
The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a new chapter on the theory of separable algebras. The book develops the notion of commutative separable algebra over a given commutative ring and explains how to construct an equivalent category of profinite spaces on which a profinite groupoid acts. It explores how the connection between the categories depends on the construction of a suitable separable closure of the given ring, which in turn depends on certain notions in profinite topology. The book also discusses how to handle rings with infinitely many idempotents using profinite topological spaces and other methods.
Separable Algebras Over Commutative Rings
DOWNLOAD
Author : Frank De Meyer
language : en
Publisher: Springer
Release Date : 2006-11-15
Separable Algebras Over Commutative Rings written by Frank De Meyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
These lecture notes were prepared by the authors for use in graduate courses and seminars, based on the work of many earlier mathematicians. In addition to very elementary results, presented for the convenience of the reader, Chapter I contains the Morita theorems and the definition of the projective class group of a commutative ring. Chapter II addresses the Brauer group of a commutative ring, and automorphisms of separable algebras. Chapter III surveys the principal theorems of the Galois theory for commutative rings. In Chapter IV the authors present a direct derivation of the first six terms of the seven-term exact sequence for Galois cohomology. In the fifth and final chapter the authors illustrate the preceding material with applications to the structure of central simple algebras and the Brauer group of a Dedekind domain, and they pose problems for further investigation. Exercises are included at the end of each chapter.
Separable Algebras
DOWNLOAD
Author : Timothy J. Ford
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-09-26
Separable Algebras written by Timothy J. Ford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-26 with Associative rings categories.
This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.
A Galois Theory For Separable Algebras
DOWNLOAD
Author : Lindsay Childs
language : en
Publisher:
Release Date : 1966
A Galois Theory For Separable Algebras written by Lindsay Childs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Algebra, Abstract categories.
Brauer Groups Hopf Algebras And Galois Theory
DOWNLOAD
Author : Stefaan Caenepeel
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-31
Brauer Groups Hopf Algebras And Galois Theory written by Stefaan Caenepeel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-31 with Mathematics categories.
This volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a new self-contained exposition of the Brauer group of a commutative ring. Included is a systematic development of the theory of Grothendieck topologies and étale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit. Part II presents a systematic development of the Galois theory of Hopf algebras with special emphasis on the group of Galois objects of a cocommutative Hopf algebra. The development of the theory is carried out in such a way that the connection to the theory of the Brauer group in Part I is made clear. Recent developments are considered and examples are included. The Brauer-Long group of a Hopf algebra over a commutative ring is discussed in Part III. This provides a link between the first two parts of the volume and is the first time this topic has been discussed in a monograph. Audience: Researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use.
Galois Theory And Cohomology Of Commutative Rings
DOWNLOAD
Author : Stephen Urban Chase
language : en
Publisher: American Mathematical Soc.
Release Date : 1969
Galois Theory And Cohomology Of Commutative Rings written by Stephen Urban Chase and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Commutative rings categories.
The Separable Galois Theory Of Commutative Rings
DOWNLOAD
Author : Andy R. Magid
language : en
Publisher:
Release Date : 1974
The Separable Galois Theory Of Commutative Rings written by Andy R. Magid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Commutative algebra categories.
The Separable Galois Theory Of Commutative Rings
DOWNLOAD
Author : Andy R. Magid
language : en
Publisher:
Release Date : 1974
The Separable Galois Theory Of Commutative Rings written by Andy R. Magid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Algèbre commutative categories.
Galois Theory
DOWNLOAD
Author : Steven H. Weintraub
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-20
Galois Theory written by Steven H. Weintraub and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-20 with Mathematics categories.
Galois theory is a mature mathematical subject of particular beauty. Any Galois theory book written nowadays bears a great debt to Emil Artin’s classic text "Galois Theory," and this book is no exception. While Artin’s book pioneered an approach to Galois theory that relies heavily on linear algebra, this book’s author takes the linear algebra emphasis even further. This special approach to the subject together with the clarity of its presentation, as well as the choice of topics covered, has made the first edition of this book a more than worthwhile addition to the literature on Galois Theory. The second edition, with a new chapter on transcendental extensions, will only further serve to make the book appreciated by and approachable to undergraduate and beginning graduate math majors.