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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Detalles Bibliográficos
Autor principal: Greither, Cornelius, 1956-
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colección:Lecture notes in mathematics 1534
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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
Descripción
Sumario: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.
Notas:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540475392 (PDF)
ISSN:1617-9692
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