1.

Record Nr.

UNISA996466863703316

Autore

Hirschfeld J.

Titolo

Forcing, arithmetic, division rings / / J. Hirschfeld, W. H. Wheeler

Pubbl/distr/stampa

Berlin : , : Springer, , [1975]

©1975

ISBN

3-540-37485-X

Edizione

[1st ed. 1975.]

Descrizione fisica

1 online resource (VII, 266 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 454

Disciplina

372.7

Soggetti

Arithmetic - Study and teaching

Model theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Existentially complete structures and existentially universal structures -- Model-completions and model-companions -- Infinite forcing in model theory -- Approximating chains for  -- Finite forcing in model theory -- Axiomatizations -- Forcing and recursion theory -- Existentially complete models -- Simple models and R.E. ultrapowers -- Regular models -- Regular models and second order models for arithmetic -- Generic models and the analytic hierarchy -- Applications to complete extensions of peano's arithmetic -- Existentially complete division rings -- Nullstellensatz -- Classes of existentially complete division algebras.