Galois Theory and Cohomology of Commutative Rings
Author: Stephen Urban Chase
Publisher: American Mathematical Soc.
Published: 1969
Total Pages: 87
ISBN-13: 0821812521
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Author: Stephen Urban Chase
Publisher: American Mathematical Soc.
Published: 1969
Total Pages: 87
ISBN-13: 0821812521
DOWNLOAD EBOOKAuthor: Stephen Urban Chase
Publisher:
Published: 1965
Total Pages: 19
ISBN-13:
DOWNLOAD EBOOKAuthor: Grégory Berhuy
Publisher: Cambridge University Press
Published: 2010-09-09
Total Pages: 328
ISBN-13: 1139490885
DOWNLOAD EBOOKThis is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
Author: Stephen Urban Chase
Publisher:
Published: 1965
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Andy R. Magid
Publisher: CRC Press
Published: 2014-07-14
Total Pages: 184
ISBN-13: 1482208067
DOWNLOAD EBOOKThe 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
Author: Cornelius Greither
Publisher: Springer
Published: 2006-11-15
Total Pages: 155
ISBN-13: 3540475397
DOWNLOAD EBOOKThe 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.
Author: Stefaan Caenepeel
Publisher: CRC Press
Published: 2020-08-26
Total Pages: 280
ISBN-13: 1000103781
DOWNLOAD EBOOKThis 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.
Author: S. U. Chase
Publisher: American Mathematical Society(RI)
Published: 1965-12-31
Total Pages: 79
ISBN-13: 9780821812525
DOWNLOAD EBOOKAuthor: Frank De Meyer
Publisher: Springer
Published: 2006-11-15
Total Pages: 162
ISBN-13: 3540364846
DOWNLOAD EBOOKThese 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.
Author: Theresa E Early
Publisher:
Published: 1976
Total Pages: 130
ISBN-13:
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