On idempotent semifields and a paper by H. Hutchins.
On intervals containing full sets of conjugates of algebraic integers
On irreducible components of a Weierstrass-type variety
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.
On K2 of Finite Dimensional Division Algebras Over Arithmetical Fields.
On knots in algebraic number theory.
On Kronecker's elimination theory.
On linear dependence of roots
On mulitplication and factorization of polynomials, II. Irreducibility discussion.
On multiple zeros of Bernoulli polynomials
On multiplication and factorization of polynomials, I. Lexicographic orderings and extreme aggregates of terms.
On multivariate Descartes' rule – a counterexample.
On th order differential equations over Hardy fields
On nilpotent Galois groups and the scope of the norm limitation theorem in one-dimensional abstract local class field theory.
On normal binomials
On normal radical extensions of real fields
On Ø-definable elements in a field
We develop an arithmetic characterization of elements in a field which are first-order definable by a parameter-free existential formula in the language of rings. As applications we show that in fields containing any algebraically closed field only the elements of the prime field are existentially ∅-definable. On the other hand, many finitely generated extensins of Q contain existentially ∅-definable elements which are transcendental over Q. Finally, we show that all transcendental elements in...
On ordered division rings
Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel’s axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain of positivity under for nonzero , instead of requiring that positive elements have a positive product. In this work, this type of ordering is studied in the case of a division ring. It is shown that it actually behaves the same as in the commutative...
On ordinary linear -adic differential equations with algebraic function coefficients
On overconvergent isocrystals and -isocrystals of rank one
On p-adic monodromy.