Total number
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Total number
Full text
Number of local repositories
Full text
0220U104284,
0120U105169
,
Investigation of the properties and structure of some types of semigroups, groups, non-associative algebras, Loday structures and existence of one-parameter strongly-continuous contraction semigroups in weighted Banach spaces
Kurdachenko Leonid A., Доктор фізико-математичних наук
15-12-2020
Oles Honchar Dnipro National University
The project is devoted to fundamental research of different nature and character to study the influence on the structure of important types of semigroups, groups and algebras of their natural systems of subsemigroups, subgroups and subalgebras respectively, and related derivatives algebraic objects such as semigroups of endomorphisms, modules over group rings and linear groups, as well as research on the existence of contraction one-parameter strongly-continuous semigroups in weighted Banach spaces, which would be generated by strongly degenerate dissipative operators. In addition, the project is devoted to solving an important scientific problem of finding free algebraic systems in given varieties of Loday algebras, characterization of some least congruences on free algebras and description of connections of certain relational systems with their derivative structures, in particular semigroups of endomorphisms and their generalizing semigroups of endotopisms.
Zhuchok Anatolii V.
Kogut Peter I
Pypka Oleksandr O.
Toichkina Olena O.
Yashchuk Viktoriia S.
2020-12-15
Updated: 2025-12-06
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