The main goal of this talk is to present the generalization of   classical results that characteriz

In a previous paper, joint with François Dumas, we had studied a family of skew fields called "Mixe

We study a problem of birational equivalence for polynomial Poisson algebras over a field of arbitra

A non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is

Let $K$ be a fixed field. Given parameters $(\alpha,\beta,\gamma) \in K^{3}$, the associated down-

Ore extensions provide a way of constructing new algebras from preexisting ones, by adding a new ind

After recall classical results in order to place our work, we introduce the class of split regular B

In 1975, Sheehan conjectured that every d-regular Hamiltonian graph contains a second Hamiltonian cy

At the beginning of this century, Fomin and Zelevinsky invented a new class of algebras called clust

We will begin by presenting some history of the Krull-Schmidt-Remak Theorem. From groups, we will pa