| Grant number: | 23/14066-5 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | August 02, 2024 |
| End date: | January 01, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Mikhailo Dokuchaev |
| Grantee: | Mikhailo Dokuchaev |
| Visiting researcher: | Hector Edonis Pinedo Tapia |
| Visiting researcher institution: | Universidad Industrial De Santander/Uis , Colombia |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| City of the host institution: | São Paulo |
| Associated research grant: | 20/16594-0 - Non commutative rings and applications, AP.TEM |
Abstract
Apply to partial Galois extensions of rings a seven term exact sequence recently obtained for non-commutative rings and a partial representation, which in the case of a Galois extension of non-commutative rings would give a new sequence, and in the case of commutative rings would give an alternative proof for a sequence produced earlier. Study the exact sequences of Chase-Harrison-Rosenberg type obtained in the context of partial actions and partial representations from the point of view of globalization. Investigate the relation of the Chase-Rosenberg exact sequence involving Amitsur cohomology with the Chase-Harrison-Rosenberg type exact sequence obtained for partial Galois extensions of commutative rings. (AU)
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