Cyclic Galois extensions of commutative rings
著者
書誌事項
Cyclic Galois extensions of commutative rings
（Lecture notes in mathematics, 1534）
Springer-Verlag, c1992
- : gw
- : us
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注記
Bibliography: p. [140]-143
Includes index
内容説明・目次
内容説明
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.
目次
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".
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