Cyclic Galois extensions of commutative rings
Author(s)
Bibliographic Information
Cyclic Galois extensions of commutative rings
（Lecture notes in mathematics, 1534）
Springer-Verlag, c1992
- : gw
- : us
Available at / 84 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||1534RM930229
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:512/g8632070250641
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Note
Bibliography: p. [140]-143
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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".
by "Nielsen BookData"
