Outstanding Scientific Developments
- Title: “Mass Consciousness in the Donbass War Conflict Zone”, State Registration Number: 0116U004150.
Scientific adviser: Kononov Illia Fedorovich, Doctor of Sociology, Professor, Head of the Department of Philosophy and Sociology.
The novelty of the results is that for the first time the concept of modern unconventional wars as a manifestation of bourgeois blankinism has been substantiated and developed; found that the mass consciousness of civilians in the context of social crisis and war is formed in network structures, some of which are offline, and some – online; it has been found out that the social practices of the population have become predominantly adaptive in these circumstances.
Knowledge about the memplexes in the free and occupied territories of Donbas was obtained and it was shown that they were the main elements of the information war.
The tactics of interaction between population and power in the frontal zone of Donbas are offered.
The All-Ukrainian Scientific-Practical Conference “War on Donbas in the Mirror of Mass Consciousness of the Residents of the Region” was held.
According to the results of the study, 1 monograph, 1 textbook, 9 journal articles included in Index Copernicus scientific-metric database were published, 12 in professional editions, 31 – in editions not included in the list of scientific professional editions of Ukraine.
- Title: “Endomorphism Semigroups and Free Algebras”, State Registration Number: 0118U002190.
Scientific adviser: Yuriy Zhuchok, Doctor of Physical and Mathematical Sciences, Associate Professor of the Department of Algebra and Systems Analysis
According to the results of the project, exact images of a monoid of strong endomorphism preserving the ratio of the equality of the vertex neighborhoods are described for arbitrary undirected graphs without multiple edges and -homogeneous hypergraphs. It is shown that an endomorphism semigroup of an equivalence graph is isomorphic to a corolla product of a symmetric semigroup and a small category. All isomorphism between endomorphism of free abelian dislocal endomorphism were found, and it is proved that all automorphisms of the free abelian dysfunction endomorphism are internal. A free object was constructed in the variety of nilpotent multiple multiples, and in particular the free – nilpotent multiple multiples of rank 1 were investigated; the least – nilpotent congruence on the free-fold semigroup is characterized.
The problem of classification of partial equivalence ratios by the value of their endotype is solved. It is proved that every ordered trioid is isomorphic to some ordered trioid of binary relations; the images of ordered trioids by reflexive and transitive binary relations are described.
The results of the research work can be applied in further studies. The results of the project with respect to images of graphs and – homogeneous hypergraphs can also be used in hypergraph theory and automata theory.
According to the results of the study, 5 articles were published (1 in the journal included in the Scopus scientific-metric database, 2 in professional publications, 2 in foreign publications).
According to the results of the study, 1 monograph, 1 textbook, 9 journal articles included in Index Copernicus scientific-metric database were published, 12 in professional editions, 31 – in editions not included in the list of scientific professional editions of Ukraine.
- Title of work: “Relatively free n-fold semigroups”, state registration number: 0118U000998.
Scientific adviser: Anatoliy Zhuchok, Doctor of Physical and Mathematical Sciences, Professor, Head of the Department of Algebra and System Analysis.
Main scientific results: the free product of arbitrary – multiple semigroups is constructed, the concept – compounds of multiple semigroups is introduced and the structure of free product is described in terms of this concept. We construct a free commutative multiple multiple arbitrary rank group and describe the smallest commutative congruence on a free multiple multiple semigroup.
New examples of multiple multiple semigroups are given and the power of the free-nilpotent multiple multiple is calculated for the final case. It is shown that each Abelian ash subgroup can be constructed from the left and right commutative semigroups and describes a free Abelian ash subgroup. The lowest Abelian congruence in the free ash subgroup is characterized.
It is proved that free commutative rank trioid is a direct product of free commutative rank semigroup and free commutative rank trioid 1. Characterized by the lowest commutative congruence, the smallest commutative demonoid congruences and the smallest commutative group.
The results of the research work can be applied in the further scientific activity of different educational institutions and in general, by the scientists working in the specified subject. In addition, materials can be used to train specialists in the specialty “Mathematics”.
According to the research, 6 articles were published.
- Title: “Socialization of students and student’s youth of eastern Ukraine in the context of the hybrid war in Donbas”, registration number: 0118U003335.
Scientific adviser: Vitalii Kurylo, Doctor of Pedagogical Sciences, Professor, Full Member of the National Academy for Pedagogical Sciences of Ukraine.
The theoretical and methodological foundations of socialization of students and student’s youth of the east of Ukraine in the conditions of hybrid war in Donbas are substantiated. A theoretical model of technology of social and pedagogical support of the process of socialization of students and students of the East of Ukraine in the conditions of hybrid war in Donbass is developed. A scientific-methodological and informational base on the problem of socialization of students and students of the eastern region of Ukraine in the conditions of hybrid war in Donbass has been created.
The All-Ukrainian Scientific-Practical Conference “Personalization of the Personality in the Conditions of Modern Challenges” was held.
Within the scope of the study, 10 master’s theses are defended.
1 monograph published; 1 section in a foreign language monograph in the official EU language; 1 article in the journal which is included in the Index-Copernicus scientific-metric database; 8 – in professional publications; 5 – in the materials of conferences and publications not included in the list of scientific professional publications of Ukraine.
23.10.2020
