Cyclic Galois Extensions of Commutative Rings
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 vi...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1534 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Cyclic Galois extensions of commutative rings, Cornelius Greither, 1992, Berlin, Springer, 1 volume (X-145 pages), Lecture notes in mathematics, 3-540-56350-4 • Cyclic Galois Extensions of Commutative Rings, Texte imprimé, 9783662178362 |
| LEADER | 02904nam a22003857a 4500 | ||
|---|---|---|---|
| 001 | 971827 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155213628 | ||
| 020 | |a 9783540475392 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Greither, Cornelius, |d 1956- | |
| 245 | 1 | 0 | |a Cyclic Galois Extensions of Commutative Rings |c Cornelius Greither. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1534 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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 . | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Extensions de corps (mathématiques) | ||
| 650 | |a Galois, Théorie de | ||
| 650 | |a Algèbre | ||
| 650 | |a Anneaux commutatifs | ||
| 776 | 0 | |0 015942244 |t Cyclic Galois extensions of commutative rings |f Cornelius Greither |d 1992 |c Berlin |n Springer |p 1 volume (X-145 pages) |s Lecture notes in mathematics |z 3-540-56350-4 | |
| 776 | 0 | |t Cyclic Galois Extensions of Commutative Rings |b Texte imprimé |z 9783662178362 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0089165 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-MJVDX81M-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750648309 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0089165 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753998955 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0089165 |z Accès INSA CVL | |
| 997 | |0 971827 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||