Model theory of algebra and arithmetic : proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1-7, 1979
著者
書誌事項
Model theory of algebra and arithmetic : proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1-7, 1979
（Lecture notes in mathematics, 834）
Springer-Verlag, 1980
- : Berlin
- : New York
- タイトル別名
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Model theory of algebra and arithmetic
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注記
Includes bibliographies
内容説明・目次
目次
Further remarks on the elementary theory of formal power series rings.- Elimination of quantifiers for non semi-simple rings of characteristic p.- The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings.- Existentially closed modules: Types and prime models.- Rings of continuous functions: Decision problems.- Weak partition relations, finite games, and independence results in Peano arithmetic.- Hensel fields in equal characteristic p>0.- On polynomials over real closed rings.- Les corps faiblement algebriquement clos non separablement clos ont la propriete d'independance.- Horn-theories of abelian groups.- Two orderings of the class of all countable models of peano arithmetic.- Ramsey quantifiers in arithmetic.- Computational complexity of decision problems in elementary number theory.- Some diophantine nullstellensatze.- A tree analysis of unprovable combinatorial statements.- A hierarchy of cuts in models of arithmetic.- Cofinal extension preserves recursive saturation.- Some model theory and number theory for models of weak systems of arithmetic.- Applications of complexity theory to ?o-definability Problems in arithmetic.- Minimally saturated models.- Totally categorical theories: Structural properties and the non-finite axiomatizability.
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