| eBook ISBN: | 978-1-4704-0433-8 |
| Product Code: | MEMO/176/832.E |
| List Price: | $73.00 |
| MAA Member Price: | $65.70 |
| AMS Member Price: | $43.80 |
| eBook ISBN: | 978-1-4704-0433-8 |
| Product Code: | MEMO/176/832.E |
| List Price: | $73.00 |
| MAA Member Price: | $65.70 |
| AMS Member Price: | $43.80 |
-
Book DetailsMemoirs of the American Mathematical SocietyVolume: 176; 2005; 170 ppMSC: Primary 13; 16
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring \(\Lambda\), either the category of \(\Lambda\)-modules of finite length has wild representation type or else we can describe the category of finitely generated \(\Lambda\)-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
-
Table of Contents
-
Chapters
-
Introduction
-
0. Preliminaries
-
1. Dedekind-like rings
-
2. Wildness
-
3. Structure of a genus
-
4. Substitute for conductor squares
-
5. Isomorphism classes in a genus, idèle group action
-
6. Web of class groups
-
7. Direct sums
-
8. Finite normalization
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring \(\Lambda\), either the category of \(\Lambda\)-modules of finite length has wild representation type or else we can describe the category of finitely generated \(\Lambda\)-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
-
Chapters
-
Introduction
-
0. Preliminaries
-
1. Dedekind-like rings
-
2. Wildness
-
3. Structure of a genus
-
4. Substitute for conductor squares
-
5. Isomorphism classes in a genus, idèle group action
-
6. Web of class groups
-
7. Direct sums
-
8. Finite normalization
