Cyclic Galois Extensions of Commutative Rings
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Beschreibung
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.
Autor*in
Cornelius Greither
Themen in »Cyclic Galois Extensions of Commutative Rings«
Galois theory algebra algebraic number theory commutative algebra commutative ring number theory