Condensational equivalence, equimorphism, elementary equivalence and similar similarities
نویسندگان
چکیده
منابع مشابه
Elementary equivalence versus Isomorphism
1) The isomorphy type of a finite field K is given by its cardinality |K|, i.e., if K and L are such fields, then K ∼= L iff |K| = |L|. 1) The isomorphy type of an algebraically closed field K is determined by two invariants: (i) Absolute transcendence degree td(K), (ii) The characteristic p = char(K) ≥ 0. In other words, if K and L are algebraically closed fields, then K ∼= L iff td(K) = td(L)...
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Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These resul...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2017
ISSN: 0168-0072
DOI: 10.1016/j.apal.2016.12.001