Lecture Notes In Mathematics: Finite Rank Torsion Free Abelian Groups And Rings

David M. Arnold. Includes Index. Bibliography: P. [178]-189. 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