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Information × Registration Number 0219U100171, 0118U002190 , R & D reports Title Endomorphism semigroups and free algebras popup.stage_title Head Zhuchok Yurii V., Доктор фізико-математичних наук Registration Date 29-01-2019 Organization State establishment „Luhansk Taras Shevchenko national Universityˮ popup.description2 The project is devoted to the solution of such important scientific problem as the study of abstract properties of endomorphism semigroups of graphs, hypergraphs and dimonoids, and the classification of these semigroups up to an isomorphism, as well as the study of free objects in given varieties of dimonoids and n-fold semigroups. The faithful representations of the strong endomorphism monoid for arbitrary undirected graphs and n-uniform hypergraphs that preserve the relation of the equality of the vertices' neighborhood. The project also solves the problem of constructing one relatively free n-fold semigroup and describes the least k-nilpotent congruence on a free n-fold semigroup. Plotkin's problem about the description of automorphisms of endomorphism semigroups of free algebras for the variety of abelian idempotent dimonoids is considered. The representations of ordered trioids by binary relations is described. Product Description popup.authors popup.nrat_date 2020-04-02 Close