A problem on coefficient fields and equations over local rings
A simple, (almost) non-inductive proof for the existence of composite fields and algebraic closures.
Completion of r.t. extensions of local fields (II)
Core varieties, extensivity, and rig geometry.
Fields with Hanselian Valuation Rings.
Freeness, linear disjointness, and implicitization -- a classical approach.
Function Fileds of Pfister Forms.
Fuzzy subfields.
Kneser and Hereditarily Kneser Subgroups of a Profinite Group
2000 Mathematics Subject Classification: 20E18, 12G05, 12F10, 12F99.Given a profinite group Γ acting continuously on a discrete quasi-cyclic group A, certain classes of closed subgroups of Γ (radical, hereditarily radical, Kneser, almost Kneser, and hereditarily Kneser) having natural field theoretic interpretations are defined and investigated. One proves that the hereditarily Kneser subgroups of Γ form a closed subspace of the irreducible spectral space of all closed subgroups of Γ, and a hereditarily...
On a theorem of Ritt and related Diophantine problems.
On Sign Determinations in Real Algebraic Number Fields.
On some characterizations of the complex number field
On the extension of valuations on a field to . - I
On the Nonflatness of Analytic Tensor Product.
On valued function fields II. Regular functions and elements with the uniqueness property.
Pfister's conjecture on quadratic Co-fields.
Some basic facts in algebraic geometry on a non algebraically closed field
Sur une version algébrique de la notion de sous-groupe minimal relatif de
The distributivity property of finite intersections of valuation rings
The field of Nash functions and factorization of polynomials
The algebraically closed field of Nash functions is introduced. It is shown that this field is an algebraic closure of the field of rational functions in several variables. We give conditions for the irreducibility of polynomials with Nash coefficients, a description of factors of a polynomial over the field of Nash functions and a theorem on continuity of factors.