Cyclic Galois Extensions of Commutative Rings |
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| Author:
| Greither, Cornelius |
| Series title: | Lecture Notes in Mathematics Ser. |
| ISBN: | 978-3-540-47539-2 |
| Publication Date: | Nov 2006 |
| Publisher: | Springer
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| Book Format: | Ebook |
| List Price: | USD $39.95 |
Book Description:
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The structure theory of abelian extensions of commutativerings is a subjectwhere commutative algebra and algebraicnumber theory overlap. This exposition is aimed at readerswith some background in either of these two fields. Emphasisis given to the notion of a normal basis, which allows oneto view in a well-known conjecture in number theory(Leopoldt's conjecture) from a new angle. Methods toconstruct certain extensions quite explicitly are alsodescribed at length.
The structure theory of abelian extensions of commutativerings is a subjectwhere commutative algebra and algebraicnumber theory overlap. This exposition is aimed at readerswith some background in either of these two fields. Emphasisis given to the notion of a normal basis, which allows oneto view in a well-known conjecture in number theory(Leopoldt's conjecture) from a new angle. Methods toconstruct certain extensions quite explicitly are alsodescribed at length.