Finite Rank Torsion Free Abelian Groups and Rings

Arnold, D. M.

Description

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.
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Writer
Arnold, D. M.
Title
Finite Rank Torsion Free Abelian Groups and Rings
Publisher
Springer-Verlag GmbH
Year
1982
Language
English
Pages
204
Weight
316 gr
EAN
9783540115571
Dimensions
235 x 155 x 11 mm
Binding format
Paperback

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