Addendum to the paper: "On the number of terms of a composite polynomial" (Acta Arith. 127 (2007), 157-167)
Additional signals in linear discrete-time control systems. III. Additional disturbance feedforward
Adjoints and Duals of Matroids Linearly Representable over a Skewfield.
Algebraic independence of polynomials
Algèbre à division et extensions de corps sauvagement ramifiées de degré premier.
Algèbres de Hadamard
Algorithms for function fields.
Almost hilbertian fields
This paper is devoted to some variants of the Hilbert specialization property. For example, the RG-hilbertian property (for a field K), which arose in connection with the Inverse Galois Problem, requires that the specialization property holds solely for extensions of K(T) that are Galois and regular over K. We show that fields inductively obtained from a real hilbertian field by adjoining real pth roots (p odd prime) are RG-hilbertian; some of these fields are not hilbertian. There are other variants...
An application of Hilbert's irreducibility theorem to diophantine equations
An Arithmetic Characterization of the Rational Homotopy Groups of Certain Spaces.
An equivalence between varieties of cyclic Post algebras and varieties generated by a finite field
In this paper we give a term equivalence between the simple k-cyclic Post algebra of order p, L p,k, and the finite field F(p k) with constants F(p). By using Lagrange polynomials, we give an explicit procedure to obtain an interpretation Φ1 of the variety V(L p,k) generated by L p,k into the variety V(F(p k)) generated by F(p k) and an interpretation Φ2 of V(F(p k)) into V(L p,k) such that Φ2Φ1(B) = B for every B ε V(L p,k) and Φ1Φ2(R) = R for every R ε V(F(p k)).
An explicit description of the set of all normal bases generators of a finite field
An extension of Bourgain and Garaev's sum-product estimates
An irreducibility criterion for polynomials in several variables
Application de la généralisation du principe de correspondance à la théorie de l'élimination
Automorphisms of completely primary finite rings of characteristic p
A completely primary ring is a ring R with identity 1 ≠ 0 whose subset of zero-divisors forms the unique maximal ideal . We determine the structure of the group of automorphisms Aut(R) of a completely primary finite ring R of characteristic p, such that if is the Jacobson radical of R, then ³ = (0), ² ≠ (0), the annihilator of coincides with ² and , the finite field of elements, for any prime p and any positive integer r.
Autour d'un théorème de Stein.
Bemerkung zur Auflösung der kubischen Gleichungen
Berichtigung eines Satzes von Abel, die Darstellung der algebraischen Functionen betreffend. Von Königsberger in Greifswald
Beweis der Unmöglichkeit, algebraische Gleichungen von höheren Graden als dem vierten allgemein aufzulösen.