graduation at Matemática from Universidade de São Paulo (2016), master's at Mathematics from Universidade de São Paulo (2019) and doctorate at Mathematics from Universidade de São Paulo (2023). , acting on the following subjects: multirings and multifields, quadratic forms, álgebra, hypergroups, homological algebra, abelian category and teoria das categorias. (Source: Lattes Curriculum)
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Algebraic hyperstructures are generalizations of the usual algebraic structures obtained from the generalization of the concept of algebraic operations. In particular, Sette and Morgado presented a generalized and quite intuitive definition of hyperlattice. There are numerous applications of hyperstructures such as semantics for logical systems, automata, cryptography, artificial intellig…
In the context of the infinite Galois theory over a base field, some questions are well answered having available an infinite extension of this, for example, the absolute Galois group of a field $F$, $Gal(F^s|F)$, where $F^s$ denotes a separable closure of $F$.However, in that broad setting, we must pay the price of having to introduce topological notions (the bijective correspondence is …
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