About the group properties of block elements in nanotechnology

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Russian Federation ORCID iD 0000-0002-6663-6357
  • Zhuravkov M.A. Minsk State University, Minsk, Belarus

UDC

539.3

EDN

DPPFMD

DOI:

10.31429/vestnik-22-1-14-17

Abstract

In this paper, it is shown that the packed block elements used in solving the boundary value problem by the block element method are elements of an Abelian group. It was proved earlier in publications that they are elements of a discrete topological space. This result expands the apparatus of studying aggregates of block elements, in particular, the construction of group ideals and the implementation of harmonic analysis on groups. This property can play an important role in the problem of modeling the creation of nanomaterials.

Keywords:

block elements, Abelian group, внешние формы

Funding information

The work was carried out with the financial support of the Russian Science Foundation and the Kuban Science Foundation (regional project 24-11-20006).

Authors info

  • Vladimir A. Babeshko

    академик РАН, д-р физ.-мат. наук, заведующий кафедрой математического моделирования Кубанского государственного университета

  • Mihail A. Zhuravkov

    д-р физ.-мат. наук, профессор, заведующий кафедрой теоретической и прикладной механики Белорусского государственного университета

References

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Issue

Pages

14-17

Section

Mechanics

Dates

Submitted

February 22, 2025

Accepted

March 24, 2025

Published

March 27, 2025

How to Cite

[1]
Babeshko, V.A., Zhuravkov, M.A., About the group properties of block elements in nanotechnology. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2025, т. 22, № 1, pp. 14–17. DOI: 10.31429/vestnik-22-1-14-17

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