Cyclic Galois Extensions of Commutative Rings. 1st ed. 1992
- 種類:
- 電子ブック
- 責任表示:
- by Cornelius Greither
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992
- 著者名:
- シリーズ名:
- Lecture Notes in Mathematics ; 1534
- ISBN:
- 9783540475392 [3540475397]
- 注記:
- Galois theory of commutative rings -- Cyclotomic descent -- Corestriction and Hilbert's Theorem 90 -- Calculations with units -- Cyclic p-extensions and {ie771-}-extensions of number fields -- Geometric theory: cyclic extensions of finitely generated fields -- Cyclic Galois theory without the condition “p ?1 ? R”.
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. - ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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