graduation at Matemática from Universidade Federal de Santa Maria (2020). (Source: Lattes Curriculum)
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This project aims to study the vanishing properties of Tor and Ext derived functors in order to obtain structural, homological or geometric information about modules on commutative rings from homological vanishing properties. There are traditional results of the theory that verify, for example, that if an R-module M satisfies Ext1(M,N)=0, for every R-module N , then M is a projective R-mo…
We will present here a research project, extremely broad in commutative algebra and homological algebra, which will be investigated over a two-year master's degree. This project is based on homological algebra theory such as Ext and Tor funkers, local module cohomology. But explicitly, the objective is to explore the structure and algebraic, homological, arithmetic and geometric propertie…
The study of homological dimensions of finitely generated modules over Noetherian local rings and their relationship with the vanishing of the derived functors Tor and Ext has been a topic of intense investigation in recent years. In this project, we aim to investigate the vanishing of the derived functors Tor and Ext and modules of finite quasi-projective dimension. Through this, we hope…
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