Add to ORKGLet K, L be finitely generated fields with K ≡ L. Is K isomorphic to L? In 2020, Dittmann and Pop [DP] solved this question affirmatively except the case of characteristic 2. We review their method. Finally, we consider analogous problem for infinite algebraic extensions of ℚ
A field $K$ in a ring language $\mathcal{L}$ is finitely undecidable if $\mbox{Cons}(\Sigma)$ is und...
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensi...
AbstractIt follows directly from Shelah’s structure theory that if T is a classifiable theory, then ...
AbstractConfirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221–272), we ...
We continue the investigation started in [Sh:1215] about the relation between the Keilser-Shelah iso...
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue ...
On elementary equivalence, isomorphism and isogeny par Pete L. CLARK Résumé. Motive ́ par un trava...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
AbstractConfirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221–272), we ...
The multiplicative group of a number field acts by multiplication on the full adele ring of the fiel...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
I show that one can explicitly construct topologically/geometrically distinguishable data which prov...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
Categorical equivalences between block algebras of finite groups—such as Morita and derived equivale...
A field $K$ in a ring language $\mathcal{L}$ is finitely undecidable if $\mbox{Cons}(\Sigma)$ is und...
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensi...
AbstractIt follows directly from Shelah’s structure theory that if T is a classifiable theory, then ...
AbstractConfirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221–272), we ...
We continue the investigation started in [Sh:1215] about the relation between the Keilser-Shelah iso...
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue ...
On elementary equivalence, isomorphism and isogeny par Pete L. CLARK Résumé. Motive ́ par un trava...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
AbstractConfirming a conjecture of Hjorth and Kechris (Ann. Pure Appl. Logic 82 (1996) 221–272), we ...
The multiplicative group of a number field acts by multiplication on the full adele ring of the fiel...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
I show that one can explicitly construct topologically/geometrically distinguishable data which prov...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
Categorical equivalences between block algebras of finite groups—such as Morita and derived equivale...
A field $K$ in a ring language $\mathcal{L}$ is finitely undecidable if $\mbox{Cons}(\Sigma)$ is und...
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensi...
AbstractIt follows directly from Shelah’s structure theory that if T is a classifiable theory, then ...