1.

Record Nr.

UNISA996466536903316

Autore

Arnold David M.

Titolo

Finite rank torsion free abelian groups and rings / / D. M. Arnold

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1982]

©1982

ISBN

3-540-39234-3

Edizione

[1st ed. 1982.]

Descrizione fisica

1 online resource (X, 198 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 931

Disciplina

512.2

Soggetti

Quotient rings

Endomorphism rings

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.