CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Espanha
bachelor's at Licenciado en Ciencias: Matemáticas from Universidad de Málaga (1999) and doctorate at Doctor por la Universidad Autónoma de Barcelona from Departament de Matemàtiques -Universitat Autònoma de Matemàtiques (2008). He is currently professor doutor ms-3 a at Universidade de São Paulo. Has experience in Mathematics, focusing on Algebra (Source: Lattes Curriculum)
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(Only some records are available in English at this moment)
This project for a Ph.D. thesis focuses on groupoid graded rings with two main topics. On the one hand, we will study the existence of graded homomorphisms from a groupoid graded ring to groupoid graded division rings, i.e. we intend to extend Cohn's theory to this setting as well as the result of Malcomsom and Schofield on homomorphisms of rings to division rings. On the other hand, we w…
In Algebra, it is useful to embed a ring in a new one with better properties. An important example of this is the technique of localization at (the complement of) a prime ideal. In non-commutative algebra it is not always possible the construction of a ring of fractions. Ore localization provides necessary and sufficient conditions in a ring for the existence o a localization similar to t…
We would like to find a theory for graded division rings similar to the one developed by Paul M. Cohn for nontraded division rings.
This research project focuses on groupoid graded rings with two main topics. On the one hand, wewill investigate units in integral groupoid rings. On the other hand, we will study the connectionbetween several categories associated with groupoid graded rings. (AU)
| 4 / 4 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 9 / 9 | All research grants and scholarships |
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