Forcing, Arithmetic, Division Rings [electronic resource] /
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.
Main Authors: | , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1975
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Subjects: | Mathematics., Mathematics, general., |
Online Access: | http://dx.doi.org/10.1007/BFb0064082 |
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Summary: | 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. |
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