Switch to: References

Citations of:

Model Theory of Fields With Operators – a Survey [Book Review]

In Åsa Hirvonen, Juha Kontinen, Roman Kossak & Andrés Villaveces (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 91-114 (2015)

Add citations

You must login to add citations.
  1. Pseudofinite difference fields.Tingxiang Zou - 2019 - Journal of Mathematical Logic 19 (2):1950011.
    We study a family of ultraproducts of finite fields with the Frobenius automorphism in this paper. Their theories have the strict order property and TP2. But the coarse pseudofinite dimension of the definable sets is definable and integer-valued. Moreover, we establish a partial connection between coarse dimension and transformal transcendence degree in these difference fields.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • Pseudofinite difference fields and counting dimensions.Tingxiang Zou - 2021 - Journal of Mathematical Logic 21 (1):2050022.
    We study a family of ultraproducts of finite fields with the Frobenius automorphism in this paper. Their theories have the strict order property and TP2. But the coarse pseudofinite dimension of the definable sets is definable and integer-valued. Moreover, we also discuss the possible connection between coarse dimension and transformal transcendence degree in these difference fields.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
    		•
  • Pseudofinite difference fields and counting dimensions.Tingxiang Zou - 2021 - Journal of Mathematical Logic 21 (1):2050022.
    We study a family of ultraproducts of finite fields with the Frobenius automorphism in this paper. Their theories have the strict order property and TP2. But the coarse pseudofinite dimension of the definable sets is definable and integer-valued. Moreover, we also discuss the possible connection between coarse dimension and transformal transcendence degree in these difference fields.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
    		•