Ebook: Model Theory and Algebra: A Memorial Tribute to Abraham Robinson

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Content:
Front Matter....Pages -
On recursively saturated models of arithmetic....Pages 42-55
A note on existentially complete division rings....Pages 56-59
Ideals of integers in nonstandard number fields....Pages 60-90
Categories of local functors....Pages 91-116
Impredicativity of the existence of the largest divisible subgroup of an Abelian p-group....Pages 117-130
Elementary equivalence classes of generic structures and existentially complete structures....Pages 131-169
The number of equivalence classes of existentially complete structures....Pages 170-171
Finite forcing and generic filters in arithmetic....Pages 172-199
Dense embeddings I: A theorem of Robinson in a general setting....Pages 200-219
New facts about Hilbert's seventeenth problem....Pages 220-230
Nonstandard aspects of Hilbert's irreducibility theorem....Pages 231-275
Projective model theory and coforcing....Pages 276-306
On algebraic curves over commutative regular rings....Pages 307-383
Existence of rigid-like families of Abelian p-groups....Pages 384-402
The complexity of Tf and omitting types in FT ....Pages 403-407
Model-completeness and skolem expansions....Pages 408-463

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Content:
Front Matter....Pages -
On recursively saturated models of arithmetic....Pages 42-55
A note on existentially complete division rings....Pages 56-59
Ideals of integers in nonstandard number fields....Pages 60-90
Categories of local functors....Pages 91-116
Impredicativity of the existence of the largest divisible subgroup of an Abelian p-group....Pages 117-130
Elementary equivalence classes of generic structures and existentially complete structures....Pages 131-169
The number of equivalence classes of existentially complete structures....Pages 170-171
Finite forcing and generic filters in arithmetic....Pages 172-199
Dense embeddings I: A theorem of Robinson in a general setting....Pages 200-219
New facts about Hilbert's seventeenth problem....Pages 220-230
Nonstandard aspects of Hilbert's irreducibility theorem....Pages 231-275
Projective model theory and coforcing....Pages 276-306
On algebraic curves over commutative regular rings....Pages 307-383
Existence of rigid-like families of Abelian p-groups....Pages 384-402
The complexity of Tf and omitting types in FT ....Pages 403-407
Model-completeness and skolem expansions....Pages 408-463
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