Cyclic Galois extensions of commutative rings
By: Cornelius Greither.
Series: Lecture notes in mathematics ;; 1534; Lecture notes in mathematics (Springer-Verlag) ;; 1534.
Publisher: Springer-Verlag
Published: 1992
Place of publication: Berlin; New York
Language: eng
Number of pages: 145
Subjects: Commutative rings.; Galois theory.; Ring extensions (Algebra)
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.
Notes: Includes bibliographical references (p. [140]-143) and index.