O čtrnáctém Hilbertově problému
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Displaying 1 – 12 of 12
On chains of purely transcendental field extensions
G. G. Bastos, L. Fuchs, T. M. Viswanathan (1990)
Rendiconti del Seminario Matematico della Università di Padova
On elementary equivalence, isomorphism and isogeny
Pete L. Clark (2006)
Journal de Théorie des Nombres de Bordeaux
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 results are applied to deduce new instances of “elementary equivalence implies isomorphism”: for all genus zero...
On places of algebraic function fields.
A. Prestel, F.-V. Kuhlmann (1984)
Journal für die reine und angewandte Mathematik
On rank of extensions of valuations
Sudesh K. Khanduja, Usha Garg (1990)
Colloquium Mathematicae
On ruled fields
Jack Ohm (1989)
Journal de théorie des nombres de Bordeaux
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
On subfields of
Victor Alexandru, Nicolae Popescu (1986)
Rendiconti del Seminario Matematico della Università di Padova
On the dimension of the space of ℝ-places of certain rational function fields
Taras Banakh, Yaroslav Kholyavka, Oles Potyatynyk, Michał Machura, Katarzyna Kuhlmann (2014)
Open Mathematics
We prove that for every n ∈ ℕ the space M(K(x 1, …, x n) of ℝ-places of the field K(x 1, …, x n) of rational functions of n variables with coefficients in a totally Archimedean field K has the topological covering dimension dimM(K(x 1, …, x n)) ≤ n. For n = 2 the space M(K(x 1, x 2)) has covering and integral dimensions dimM(K(x 1, x 2)) = dimℤ M(K(x 1, x 2)) = 2 and the cohomological dimension dimG M(K(x 1, x 2)) = 1 for any Abelian 2-divisible coefficient group G.
On the extension of a valuation on a field to . - II
Nicolae Popescu, Constantin Vraciu (1996)
Rendiconti del Seminario Matematico della Università di Padova
On the nonexcellence of field extensions .
Izhboldin, O.T. (1996)
Documenta Mathematica
Orderings under field extensions.
T.Y. Lam, R. Elman, A.R. Wadsworth (1979)
Journal für die reine und angewandte Mathematik
Ordre de transcendance sur
Alain Escassut (1979/1981)
Groupe de travail d'analyse ultramétrique
Currently displaying 1 – 12 of 12
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