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Information × Registration Number 0222U002552, 0119U101032 , R & D reports Title Investigation of algebraic structures with restrictions on their substructure systems and factor structure popup.stage_title Head Kurdachenko Leonid А., Доктор фізико-математичних наук Registration Date 14-02-2022 Organization Oles Honchar Dnipro National University popup.description2  The objects of study are algebras (non-associative), groups, modules over group rings. The aim of the work is to obtain numerical characteristics that express the relationship between the upper and lower central series and their generalizations in the algebraic structures where they occur. Obtaining a description of some infinite groups with natural restrictions on systems of subgroups and factor groups. Obtaining a description of the structure of new types of semigroups, which are associated with the set of all mappings from group to lattice. Research methods - modern methods of theory of groups, rings and modules. As a result of research the description of some infinite groups with natural restrictions on systems of subgroups and the factor of groups is received; a description of some non-associative algebras with natural constraints on systems of subalgebras and ideals is obtained; the description of structure of new types of semigroups which are connected with set of all reflections from group in a lattice is received. All the obtained results are new and correspond to the world level of scientific research. The results of research can be used in teaching algebraic special courses and for in-depth training of graduate students on research. The results can also be used in further research on group theory, modules of Lie and Leibniz algebras, which are conducted at the universities of Kiev, Lviv, Los Angeles, Zaragoza, Valencia, Naples, Alabama. Product Description popup.authors Varekh Nonna V Velychko Tatyana V. Halaiko Yuliia A Kurdachenko Leonid А. Pypka Oleksandr O. Tushev Anatolii V. Chupordia Vasyl A. Yashchuk Viktoriia S. popup.nrat_date 2022-03-09 Close