Objects generated by an arbitrary natural number

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310-5132, Online ISSN 2367-8275
Volume 26, 2020, Number 4, Pages 57—62
DOI: 10.7546/nntdm.2020.26.4.57-62
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Authors and affiliations

Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory
Prof. Asen Zlatarov University, Bourgas-8000, Bulgaria

Abstract

The set \underline{Set}(n), generated by an arbitrary natural number n, is defined. Some arithmetic functions, defined over its elements are introduced. Some of the arithmetic, set-theoretical and algebraic properties of the new objects are studied.

Keywords

  • Algebraic objects
  • Arithmetic functions
  • Natural numbers
  • Sets

2010 Mathematics Subject Classification

  • 11A25

References

  1. Atanassov, K. (1985). Short proof of a hypothesis of A. Mullin. Bulletin of Number Theory and Related Topics, Vol. IX (2), 9–11.
  2. Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham.
  3. MacLane, S., & Birkhoff, G. (1967). Algebra, The Macmillan Co., New York.

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Cite this paper

Atanassov, K. (2020). Objects generated by an arbitrary natural number. Notes on Number Theory and Discrete Mathematics, 26 (4), 57-62, doi: 10.7546/nntdm.2020.26.4.57-62.

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