The Separable Galois Theory Of Commutative Rings
DOWNLOAD
Download The Separable Galois Theory Of Commutative Rings PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Separable Galois Theory Of Commutative Rings 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
The Separable Galois Theory Of Commutative Rings
DOWNLOAD
Author : Andy R. Magid
language : en
Publisher: CRC Press
Release Date : 2014-07-14
The Separable Galois Theory Of Commutative Rings 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 n
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.
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.
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.
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.
Separable Algebras Over Commutative Rings
DOWNLOAD
Author : Frank De Meyer
language : en
Publisher:
Release Date : 2014-01-15
Separable Algebras Over Commutative Rings written by Frank De Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
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.
Galois Extensions Of Structured Ring Spectra Stably Dualizable Groups
DOWNLOAD
Author : John Rognes
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Galois Extensions Of Structured Ring Spectra Stably Dualizable Groups written by John Rognes 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 2008 with Commutative algebra categories.
The author introduces the notion of a Galois extension of commutative $S$-algebras ($E_\infty$ ring spectra), often localized with respect to a fixed homology theory. There are numerous examples, including some involving Eilenberg-Mac Lane spectra of commutative rings, real and complex topological $K$-theory, Lubin-Tate spectra and cochain $S$-algebras. He establishes the main theorem of Galois theory in this generality. Its proof involves the notions of separable and etale extensions of commutative $S$-algebras, and the Goerss-Hopkins-Miller theory for $E_\infty$ mapping spaces. He shows that the global sphere spectrum $S$ is separably closed, using Minkowski's discriminant theorem, and he estimates the separable closure of its localization with respect to each of the Morava $K$-theories. He also defines Hopf-Galois extensions of commutative $S$-algebras and studies the complex cobordism spectrum $MU$ as a common integral model for all of the local Lubin-Tate Galois extensions. The author extends the duality theory for topological groups from the classical theory for compact Lie groups, via the topological study by J. R. Klein and the $p$-complete study for $p$-compact groups by T. Bauer, to a general duality theory for stably dualizable groups in the $E$-local stable homotopy category, for any spectrum $E$.
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.
Cyclic Galois Extensions Of Commutative Rings
DOWNLOAD
Author : Cornelius Greither
language : en
Publisher: Springer
Release Date : 2006-11-15
Cyclic Galois Extensions Of Commutative Rings written by Cornelius Greither 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.
The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.