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Álgebras de Hopf, objetos galois e identidades polinomiais
(Universidade Federal de São Carlos, 2018-02-21)
Our main goal is to study Hopf algebras and Galois objects, from the point of view of the polynomial identities, more precisely how these objects are distinguished by their polynomial H-identities. To this end we follow ...
Identidades polinomiais via identidades de grupo : a conjectura de Brian Hartley
(Universidade Federal de São Carlos, 2017-02-16)
In this work, we present the Conjecture of Brian Hartley and study its validity, i.e, we verify if group identities in the unity group U(FG) make FG satisfy a polynomial identity, where G is a torsion group and F any ...
Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos
(Universidade Federal de São Carlos, 2017-09-01)
In this essay we will briefly study the concept of Algebra. We will introduce a little of Group Representation Theory, looking specifically at Young's Theory, which allows us to present explicitly the decomposition of the ...
PI-equivalência em álgebras graduadas simples
(Universidade Federal de São Carlos, 2016-02-29)
This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers  and . More precisely we ...
Grafos eulerianos e identidades polinomiais na álgebra Mn(K)
(Universidade Federal de São Carlos, 2013-08-27)
In this work we present some applications of graph theory in problems involving polynomial identities for the algebra Mn (K). A brief presentation of PI-theory and some concepts of graph theory, such as the definition of ...