Cyclic Galois extensions of commutative rings /
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 vi...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[1992]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1534. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 145 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [140]-143) and index. |
| ISBN: | 9783540475392 (electronic bk.) 3540475397 (electronic bk.) |
| ISSN: | 0075-8434 ; |