graduate at licenciatura em matemática from Universidade Estadual de Campinas (2000), master's at Mathematics from Universidade Estadual de Campinas (2002) and ph.d. at Mathematics from Universidade Estadual de Campinas (2006). Has experience in Mathematics, focusing on Mathematics, acting on the following subjects: tree automorphisms. (Source: Lattes Curriculum)
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The algebras that satisfy polynomial identities (so-called PI-algebras) form an important class of algebras. A polynomial identity of an algebra A is a polynomial f(x1, . . . , xn), in noncommutative variables, which vanishes when evaluated in any elements of A. We say that A is a PI-algebra when there are a non zero polynomial under these conditions. As examples we can mention commutativ…
The main goal of this project is to study the initial topics in Commutative Algebra. This subarea of Algebra is the base for the study of many problems in Mathematics, for example the problem of resolution of singularities in Algebraic Geometry. This project will be fundamental to prepare the applicant to develop research in this area during his graduate studies.
The algebras that satisfy polynomial identities (so-called PI-algebras) form an important class of algebras, and therefore they have been attracting the attention of the algebraist. A polynomial identity of an algebra A is a polynomial f(x1,...,xn) in noncommutative variables such that f(a1,...,an)=0 in A for all a1,...,an in A. If there exist f(x1,...,xn) nonzero we say that A is a PI-al…
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