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

For a natural number k, Cooke introduced k-stage euclidean rings as a generalization of classical Eu

The subject of this talk will be Hopf algebras and their dual theory. We will mostly focus on a pa