Finite Rank Torsion Free Abelian Groups and Rings
Arnold, David M.
Finite Rank Torsion Free Abelian Groups and Rings [electronic resource] / by David M. Arnold. - X, 198 p. online resource. - Lecture Notes in Mathematics, 931 0075-8434 ; . - Lecture Notes in Mathematics, 931 .
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.
9783540392347
10.1007/BFb0094245 doi
Group theory.
Group Theory and Generalizations.
QA174-183
512.2
Finite Rank Torsion Free Abelian Groups and Rings [electronic resource] / by David M. Arnold. - X, 198 p. online resource. - Lecture Notes in Mathematics, 931 0075-8434 ; . - Lecture Notes in Mathematics, 931 .
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.
9783540392347
10.1007/BFb0094245 doi
Group theory.
Group Theory and Generalizations.
QA174-183
512.2