Search academic texts

Information × Registration Number 0219U004177, 0116U003399 , R & D reports Title Investigation of some questions of the theory of infinite groups, Lie algebras, modules and other algebraic objects popup.stage_title Head Kurdachenko Leonid, Доктор фізико-математичних наук Registration Date 08-04-2019 Organization Oles Honchar Dnipro National University popup.description2 The objects of the investigation are infinite groups, modules over group rings, Lie and Leibniz algebras. The aim of research is to obtain the description of some infinite groups satisfying the natural restriction on the systems of their subgroups and the factor-group, finding the relationships between the factors of the central series of such algebraic structures as groups, modules, and some types of algebras, and the description of the structure of certain types of algebras. Methods of research - modern methods of the theory of groups, rings, modules, and non-associative algebras. As a result of the research, it was obtained a description of the Leibniz algebras with restrictions on some systems of their substructures, analogous to the theorems of Schur and Bear for the Lie and Leibniz algebras. for some types of modules over group rings and for generalized solvable groups. For some types of groups, the necessary and sufficient conditions for the group has an exact irreducible representation, Some types of groups with restrictions on the system of their subgroups are described. All the results are new. Scientific results introduce in the tutorial process. Scope: science and education. Product Description popup.authors Вінниченко Людмила Федорівна Варех Нонна Василівна Величко Тетяна Володимирівна Пипка Олександр Олександрович Тушев Анатолій Володимирович Чупордя Василь Анатолійович Ящук Вікторія Сергіївна popup.nrat_date 2020-04-02 Close