Finite rank torsion free Abelian groups and rings

Author(s)

• Arnold, David M.

Bibliographic Information

Finite rank torsion free Abelian groups and rings

David M. Arnold

（Lecture notes in mathematics, 931）

Springer-Verlag, 1982

• : Berlin
• : New York

Note

Bibliography: p. [178]-189

Includes index

Description and Table of Contents

Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA00667782
• ISBN:
  • 3540115579
  • 0387115579
• LCCN: 82010329
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: vi, 191 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA171
  • DC19 : 510 s
  • DC19 : 512/.2
  • NDC8 : 411.6
• Subject Headings:
  • LCSH : Torsion free Abelian groups
  • LCSH : Endomorphism rings
  • LCSH : Quotient rings
  • NDLSH : 群論
  • NDLSH : 環(数学)
• Parent Bibliography ID:
  • BA00146586