Galois Theory And Cohomology Of Commutative Rings
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Galois Theory and Cohomology of Commutative Rings
Author | : Stephen Urban Chase,D. K. Harrison,Alex Rosenberg |
Publsiher | : American Mathematical Soc. |
Total Pages | : 79 |
Release | : 1969 |
Genre | : Commutative rings |
ISBN | : 9780821812525 |
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Cyclic Galois Extensions of Commutative Rings
Author | : Cornelius Greither |
Publsiher | : Springer |
Total Pages | : 155 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540475392 |
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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.
The Separable Galois Theory of Commutative Rings
Author | : Andy R. Magid |
Publsiher | : CRC Press |
Total Pages | : 184 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 9781482208061 |
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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
Brauer Groups and the Cohomology of Graded Rings
Author | : Stefaan Caenepeel |
Publsiher | : CRC Press |
Total Pages | : 280 |
Release | : 2020-08-26 |
Genre | : Mathematics |
ISBN | : 9781000103786 |
Download Brauer Groups and the Cohomology of Graded Rings Book in PDF, Epub and Kindle
This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.
Galois Theory Rings Algebraic Groups and Their Applications
Author | : Simeon Ivanov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821831402 |
Download Galois Theory Rings Algebraic Groups and Their Applications Book in PDF, Epub and Kindle
This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.
Separable Algebras over Commutative Rings
Author | : Frank De Meyer,Edward Ingraham |
Publsiher | : Springer |
Total Pages | : 162 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540364849 |
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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.
The Separable Galois Theory of Commutative Rings
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Author | : Andy R. Magid |
Publsiher | : Unknown |
Total Pages | : 134 |
Release | : 1974 |
Genre | : Algèbre commutative |
ISBN | : 0824761634 |
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Rings Extensions and Cohomology
Author | : Andy R. Magid |
Publsiher | : CRC Press |
Total Pages | : 262 |
Release | : 2020-09-10 |
Genre | : Mathematics |
ISBN | : 9781000116816 |
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"Presenting the proceedings of a conference held recently at Northwestern University, Evanston, Illinois, on the occasion of the retirement of noted mathematician Daniel Zelinsky, this novel reference provides up-to-date coverage of topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology."