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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.
- Format: Pocket/Paperback
- ISBN: 9783540563501
- Språk: Engelska
- Antal sidor: 146
- Utgivningsdatum: 1992-12-01
- Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K