AuthorArnold, David M. author
TitleFinite Rank Torsion Free Abelian Groups and Rings [electronic resource] / by David M. Arnold
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1982
Connect tohttp://dx.doi.org/10.1007/BFb0094245
Descript X, 198 p. online resource

CONTENT

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


SUBJECT

  1. Mathematics
  2. Group theory
  3. Mathematics
  4. Group Theory and Generalizations