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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 ...
Graduações de grupo na álgebra das matrizes triangulares superiores
(Universidade Federal de São Carlos, 2009-08-11)
In this work we study group gradings on the upper triangular matrices algebra UTn(F), which have several applications in the PI-algebra theory. Our main purpose is to exhibit a description of all _nite gradings of UTn(F) ...