The objective of this paper is to present the Inverse Problem of Galois, which is to discover under what conditions we can determine a polynomial that has G as a Galois group. Therefore, the Galois Theory is addressed, if ...

Strong similarities have been long observed between the Galois (Categories Galoisiennes) and the Tannaka (Categories Tannakiennes) theories of representation of groups. In this paper we construct an explicit (neutral) ...

The objective of this text is to give a brief introduction to Galois theory and to computer the Galois groups of low degree polynomials in a field of caracteristic zero.

We introduce a new class of noncommutative rings - Galois orders, realized as certain subrings of invariants in skew semigroup rings, and develop their structure theory. The class of Calms orders generalizes classical ...

Solving polynomial equations was a problem that followed countless mathematicians over the centuries. As mathematics improved, formulas for Ąnding polynomial roots were developed. But the great mystery that plagued the ...

O principal objetivo deste trabalho é apresentar a teoria de Galois sobre anéis comutativos, exibindo uma definição adequada para uma extensão de anéis ser galoisiana, de modo que esta seja uma generalização natural da ...

The trajectory of energy is modeled by the solution of the Eikonal equation, which can be solved by solving a Hamiltonian system. This system is amenable of treatment from the point of view of the theory of differential ...

Stochastic birth-death processes are described as continuous-time Markov processes in models of population dynamics. A system of in nite, coupled ordinary diferential equations (the so- called master equation) describes ...