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Information × Registration Number 0226U002638, (0125U000841) , R & D reports Title Theoretical and applied aspects of the study of some types of algebras and extremal problems of approximation theory popup.stage_title Дослідження неасоціативних алгебр з обмеженнями на деякі ідеали та нерівностей для похідних Head Pypka Oleksandr O., Доктор фізико-математичних наук Registration Date 02-03-2026 Organization Oles Honchar Dnipro National University popup.description1 The aim of the project is the gradual, comprehensive, and naturally driven development of the theories of Leibniz and Poisson algebras (and their generalizations), taking into account the properties of their important subalgebras and factor-algebras, as well as solving certain extremal problems in approximation theory for numerical and non-numerical valued functions. popup.description2 At the reporting stage of the research project, new results were obtained in the fields of modern algebra, mathematical analysis, and the theory of extremal problems. The research focused on the study of algebraic structures, inequalities for functions and generalized derivatives, as well as on the development and analysis of mathematical models. The obtained results represent independent theoretical contributions and, at the same time, provide a basis for further research. They extend existing mathematical approaches, refine known results, and introduce new methods of analysis. Some of the results have a potential applied orientation and may be useful for further studies in related scientific areas. The results of the reporting stage have been published in peer-reviewed scientific journals and presented at international and national scientific conferences, confirming their relevance and scientific value. Product Description popup.authors Oleksandr O. Pypka Oleh V. Kovalenko Pavlo Y. Minaiev Andriiana I. Plakosh popup.nrat_date 2026-03-02 Close