On algebraic system created from set algebra by adding the set power
indicator

Kapustin Iurii Sergeevich

On algebraic system created from set algebra by adding the set power indicator

Kapustin I. S.

Kapustin Iurii Sergeevich

graduate student, Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Chair of Mathematical Theory of Intellectual Systems

Published: 2025, vol. 29, issue 1, pp. 60–75

Download full text (In Russian)

Abstract

This paper concerns the properties of the functional system \(C_n\). This system has the domain \(2^{\mathbb{Z}}\), and is generated by functions \(2^{\mathbb{Z}} \setminus x\), \(x \cup y\), \(x \cap y\) and power indicators \(\mathbf{card}_0(x)...\mathbf{card}_n(x)\).

Keywords: functional system, precomplete class, set algebra, completion criteria.

BibTeX

@article{IS-Kapustin2025,
  author  = {Kapustin, Iurii Sergeevich},
  title   = {{On algebraic system created from set algebra by adding the set power indicator}},
  journal = {Intelligent Systems. Theory and Applications},
  year    = {2025},
  volume  = {29},
  number  = {1},
  pages   = {60--75},
}

AMSBIB

\Bibitem{IS-Kapustin2025}
\by I.\,S.~Kapustin
\paper On algebraic system created from set algebra by adding the set power indicator
\jour Intelligent Systems. Theory and Applications
\yr 2025
\vol 29
\issue 1
\pages 60--75
\lang In Russian

Published under Creative Commons Attribution 4.0 International (CC BY 4.0)

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