Pub. Date:
Springer Berlin Heidelberg
Finite Rank Torsion Free Abelian Groups and Rings / Edition 1

Finite Rank Torsion Free Abelian Groups and Rings / Edition 1

by D M Arnold
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Product Details

ISBN-13: 9783540115571
Publisher: Springer Berlin Heidelberg
Publication date: 07/20/1982
Series: Lecture Notes in Mathematics , #931
Edition description: 1982
Pages: 198
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

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.

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