On convex topological halfalgebras
On duality over a certain divided power algebra with positive characteristic.
On Finite Intersections of "Henselian Valued" Fields.
On full cover property of ordered fields
On generalized -adic integration
On Grothendieck's pairing of component groups in the semistable reduction case.
On Grunwald-Wang's theorem.
On places of algebraic function fields.
On preordered fields related to Hilbert's 17th problem.
On rank of extensions of valuations
On Real Local-Global Principles.
On Rings admitting orderings and 2-primary chains of orderings of higher level.
On SAP Fields.
On Sazonov Type Topology in p-adic Banach Space.
On Sign Determinations in Real Algebraic Number Fields.
On Some Hasse Principles over Formally Real Fields.
On the class group of affinoid spaces
On the closed subfields of [...] Q ¯ p
Let p be a prime number, and let [...] Q¯ p be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of [...] Q¯ p , the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.
On the Completion of a Valuation Ring.
On the dimension of the space of ℝ-places of certain rational function fields
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.