Model Theory and Algebra

A Memorial Tribute to Abraham Robinson

480 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

On recursively saturated models of arithmetic.- A note on existentially complete division rings.- Ideals of integers in nonstandard number fields.- Categories of local functors.- Impredicativity of the existence of the largest divisible subgroup of an Abelian p-group.- Elementary equivalence classes of generic structures and existentially complete structures.- The number of equivalence classes of existentially complete structures.- Finite forcing and generic filters in arithmetic.- Dense embeddings I: A theorem of Robinson in a general setting.- New facts about Hilbert's seventeenth problem.- Nonstandard aspects of Hilbert's irreducibility theorem.- Projective model theory and coforcing.- On algebraic curves over commutative regular rings.- Existence of rigid-like families of Abelian p-groups.- The complexity of Tf and omitting types in FT.- Model-completeness and skolem expansions.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Algebra
• ISBN: 9783540075387
• Sprache: Englisch
• Erscheinungsdatum: 01.12.1975
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: V. B. Weispfennig, D. H. Saracino