Finite Rank Torsion Free Abelian Groups and Rings

David M. Arnold (auth.)0-387-11557-9

Table of contents :
Notation and preliminaries….Pages 1-4
Types and rank—1 groups….Pages 5-20
Examples of indecomposable groups and direct sums….Pages 21-35
Endomorphism rings and decompositions of rank 2 groups….Pages 36-39
Pure subgroups of completely decomposable groups….Pages 40-46
Homogeneous completely decomposable groups and generalizations….Pages 47-57
Completely decomposable groups and generalizations….Pages 58-68
Additive categories, quasi-isomorphism and near-isomorphism….Pages 69-86
Stable range, substitution, cancellation, and exchange properties….Pages 87-107
Subrings of finite dimensional Q-algebras….Pages 108-118
Orders in finite dimensional simple Q-algebras….Pages 119-128
Maximal orders in finite dimensional simple Q-algebras….Pages 129-138
Near isomorphism and genus class….Pages 139-147
Grothendieck groups….Pages 148-159
Additive groups of subrings of finite dimensional Q-algebras….Pages 160-166
Q-simple and p-simple groups….Pages 167-177