On relative real holomorphy rings.
On Rings admitting orderings and 2-primary chains of orderings of higher level.
On rings of constants of derivations in two variables in positive characteristic
Let k be a field of chracteristic p > 0. We describe all derivations of the polynomial algebra k[x,y], homogeneous with respect to a given weight vector, in particular all monomial derivations, with the ring of constants of the form , where .
On Rolle's theorem for polynomials over the complex numbers.
On Root Arrangements of Polynomial-Like Functions and their Derivatives
2000 Mathematics Subject Classification: 12D10.We show that for n = 4 they are realizable either by hyperbolic polynomials of degree 4 or by non-hyperbolic polynomials of degree 6 whose fourth derivatives never vanish (these are a particular case of the so-called hyperbolic polynomial-like functions of degree 4).
On Roots of Polynomials with Positive Coefficients
On ruled fields
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
On SAP Fields.
On Sazonov Type Topology in p-adic Banach Space.
On searching for roots of a polynomial in a circular annulus
On Second Order Linear Differential Equations with Few Transcendental Solutions.
On Sign Determinations in Real Algebraic Number Fields.
On Solvability by Radicals of Field Extensions.
On Solvability by Radicals of Finite Fields.
On Solvable Number Fields.
On some characterizations of the complex number field
On Some Hasse Principles over Formally Real Fields.
On stability of parametrized families of polynomials and matrices.
On stable polynomials
The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
On subfields of