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...

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Bibliografische gegevens
Hoofdauteur: Greither, Cornelius, 1956-
Formaat: Livre numérique
Taal:Anglais
Gepubliceerd in: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Reeks:Lecture notes in mathematics 1534
Onderwerpen:
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Opmerking: 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
Inhoudsopgave:
  • 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 .