Identifiant pérenne de la notice : 211638021
Notice de type
Notice de regroupement
Note publique d'information : 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.