Description

Book Synopsis

1 Some concrete structures.- 2 Languages and Structures.- 3 Theories and models.- 4 Morphisms, substructures and extensions.- 5 Ultraproducts.- 6 Essential field theory.- 7 Complete theories.- 8 Model-completeness and quantifier elimination.- 9 Types.- 10 Algebraically closed fields and algebraic geometry.- 11 Real closed fields.- 12 Fraisse limits and measurement scales.- Further Reading.- Appendix A. Set-theoretic background.- Appendix B. Solutions to Exercises.- Bibliography.- Index.

Model Theory The Algebraic Basics

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    A Hardback by Davide Rizza

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      Publisher: Springer
      Publication Date: 10/27/2025
      ISBN13: 9783032037954, 978-3032037954
      ISBN10: 3032037956

      Description

      Book Synopsis

      1 Some concrete structures.- 2 Languages and Structures.- 3 Theories and models.- 4 Morphisms, substructures and extensions.- 5 Ultraproducts.- 6 Essential field theory.- 7 Complete theories.- 8 Model-completeness and quantifier elimination.- 9 Types.- 10 Algebraically closed fields and algebraic geometry.- 11 Real closed fields.- 12 Fraisse limits and measurement scales.- Further Reading.- Appendix A. Set-theoretic background.- Appendix B. Solutions to Exercises.- Bibliography.- Index.

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