Separable Algebras over Commutative Rings is popular PDF and ePub book, written by Frank De Meyer in 2006-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Separable Algebras over Commutative Rings can be Read Online from any device for your convenience.
Separable Algebras over Commutative Rings Book PDF Summary
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.
Detail Book of Separable Algebras over Commutative Rings PDF
- Author : Frank De Meyer
- Release : 15 November 2006
- Publisher : Springer
- ISBN : 9783540364849
- Genre : Mathematics
- Total Page : 162 pages
- Language : English
- PDF File Size : 19,9 Mb
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