CV Lattes
ORCID
Google Scholar Citations
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Mikhailo Dokuchaev in research grants and scholarships supported by FAPESP.
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
Based on the process of induction of ideals, introduced in 2017 by the present project participants in the context of partial crossed products, we plan to investigate the process of induction of partial representations of groups from representations of certain isotropy subgroups, as well as related issues. We shall also study the concept of the depth of a subshift X, defined in terms of t…
We intend to continue the research on non commutative rings and applications. The research group has been working in this direction for quitea long time and has already obtained expressive results that are frequently quoted in the literature. The subjects that will be the object of our research in the forth coming period are, among others: the structure of group algebras and its applicati…
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-Rosenb…
Our purpose is to prove, for a certain large class of algebras graded by a group, that each element of the class is Morita equivalent to an algebra, which is strongly graded by the same group. The determination of this class is part of the research. (AU)
(Only some records are available in English at this moment)
The project will be dedicated to the study of Hochschild (co)homology and cyclic (co)homology of partial crossed products and their relation with the partial group (co)homology. More precisely, given a partial action of a group $G$ on an algebra $A,$ we intent to prove the existence of a spectral sequence which relates the Hochschild homology of the partial crossed product $A \ast G$ wi…
The project will be dedicated to the study of problems of globalization involving cohomolgy based on partial actions and torelations between Lie algebras and partial actions. In particular, we shall try to determine whether exist relations betweenextensions associated with partial cocycles and extensions associted with global cocycles. Moreover, the possibility ofgloblizing twisted par…
The project will be dedicated to the study of isomorphisms and actions which involve Lie algebras. Our first goal is to give a contribution to the isomorphism problem for universalenveloping algebras of finite-dimensional Lie algebras. The main expected result is to show that this problem has a positive solution in the class of solvable Lie algebras of dimension four over fields of prim…
(Only some records are available in English at this moment)
| 2 / 2 | Ongoing grants |
| 29 / 25 | Completed research grants |
| 11 / 8 | Completed scholarships in Brazil |
| 2 / 0 | Completed scholarships abroad |
| 44 / 35 | All research grants and scholarships |
| Associated processes | |