Author | Arnold, David M. author |
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Title | Finite Rank Torsion Free Abelian Groups and Rings [electronic resource] / by David M. Arnold |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1982 |
Connect to | http://dx.doi.org/10.1007/BFb0094245 |
Descript | X, 198 p. online resource |
Notation and preliminaries -- Types and rankโ1 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