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Álgebras com identidades polinomiais
(Universidade Federal de São Carlos, 2023-09-04)
In this work, basic definitions and results on Algebras with Polynomial Identities are introduced, some classic results of the theory that involve them are stated and demonstrated, such as the Amitsur-Levitzki Theorem, ...
Um estudo sobre índices de campos de vetores
(Universidade Federal de São Carlos, 2023-04-03)
One of the main goals of this project is to study the index of vector fields in compact
surfaces and present the Poincar´e-Hopf Theorem, remarking that such a result connects
topological elements to geometric objects.