Finite Rank Torsion Free Abelian Groups and Rings
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1982, 1982
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| Edition: | 1st ed. 1982 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Notation and preliminaries
- Types and rank—1 groups
- Examples of indecomposable groups and direct sums
- Endomorphism rings and decompositions of rank 2 groups
- Pure subgroups of completely decomposable groups
- Homogeneous completely decomposable groups and generalizations
- Completely decomposable groups and generalizations
- Additive categories, quasi-isomorphism and near-isomorphism
- Stable range, substitution, cancellation, and exchange properties
- Subrings of finite dimensional Q-algebras
- Orders in finite dimensional simple Q-algebras
- Maximal orders in finite dimensional simple Q-algebras
- Near isomorphism and genus class
- Grothendieck groups
- Additive groups of subrings of finite dimensional Q-algebras
- Q-simple and p-simple groups