Forcing, Arithmetic, Division Rings
Hirschfeld, Joram.
Forcing, Arithmetic, Division Rings [electronic resource] / by Joram Hirschfeld, William H. Wheeler. - VII, 266 p. online resource. - Lecture Notes in Mathematics, 454 0075-8434 ; . - Lecture Notes in Mathematics, 454 .
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.
9783540374855
10.1007/BFb0064082 doi
Mathematics.
Mathematics, general.
QA1-939
510
Forcing, Arithmetic, Division Rings [electronic resource] / by Joram Hirschfeld, William H. Wheeler. - VII, 266 p. online resource. - Lecture Notes in Mathematics, 454 0075-8434 ; . - Lecture Notes in Mathematics, 454 .
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.
9783540374855
10.1007/BFb0064082 doi
Mathematics.
Mathematics, general.
QA1-939
510