Drensky, in the 1980s, conjectured that a variety of algebras V is minimal if and only if Id(V) is a product of verbally prime T-ideals. Giambruno and Zaicev, in 2003, proved that conjecture and presented a classification ...

By a ϕ-variety V we mean a supervariety or a ∗-variety generated by an associative algebra over a field F of characteristic zero. In this case, we can consider its sequence of ϕ-codimensions cϕ n(V). We say that V is minimal ...

This work has two independent goals: the first is to classify the minimal varieties of quadratic growth and the second is to get results about the verbally prime Falgebra M2(E), where E is the Grassmann algebra of infinite ...

Let V be a variety of superalgebras with graded involution and let $\{\cgri(v)\}_{n\geq 1}$ be its sequence of *-graded codimensions. We say that V has polynomial growth $n^k$ if asymptotically $\cgri(V)\approx an^k$, for ...

The main goal of this thesis is to find periodic solutions of non–smooth systems. Our contribution in this thesis is related to the study of piecewise linear vector fields, singularly perturbed non–smooth systems and cubic ...

Seja $F$ um corpo algebricamente fechado de característica zero e seja $G$ um grupo cíclico finito. Neste trabalho, todas as $F$-álgebras são assumidas como associativas. Dadas $F$-álgebras $G$-simples de dimensão finita ...