Research Article

Semigroup Construction on Polygonal Numbers

Volume: 6 Number: 3 December 31, 2021
EN

Semigroup Construction on Polygonal Numbers

Abstract

In this paper, some information about polygonal numbers are given. Also, a general binary operator that includes all polygonal numbers are given and it is investigated whether the algebraic structures defined with the general operator specify a semigroup or not.

Keywords

References

  1. [1] Deza, E., Deza, M. M., “Figurate Numbers”, World Scientific Publishing, Singapore, (2012).
  2. [2] Sparavigna, A. C., “On a generalized sum of the Mersenne Numbers”, Zenodo. http://doi.org/10.5281/zenodo.1250048, (2018).
  3. [3] Sparavigna, A. C., “Groupoids of OEIS A093112 and A093069 Numbers (oblong and odd square numbers)”, Zenodo. http://doi.org/10.5281/zenodo.3247003, (2019).
  4. [4] Sparavigna, A. C., “Groupoids of OEIS A003154 Numbers (star numbers or centered dodecagonal numbers)”, Zenodo. http://doi.org/10.5281/zenodo.3387054, (2019).
  5. [5] Ateş, F., Emin, A., “Some New Results on the Orthodox, Strongly 𝜋𝜋- Inverse and 𝜋𝜋-Regularity of Some Monoids”, Bulletin of The Society of Mathematicians Banja Luka, 11(3) (2021) : 463-472.
  6. [6] Ateş, F., “Some new monoid and group constructions under semidirect products”, Ars. Combinatoria, 91 (2009) : 203-218.
  7. [7] Emin, A., Ateş, F., “A new monoid construction under crossed products”, Journal of Inequalities and Applications, 244(1) (2013).
  8. [8] Howie, J. M., “Fundamentals of Semigroup Theory”, No 12, Clarendon Press, Oxford, (1995).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

November 26, 2021

Acceptance Date

December 24, 2021

Published in Issue

Year 2021 Volume: 6 Number: 3

APA
Emin, A. (2021). Semigroup Construction on Polygonal Numbers. Journal of Engineering Technology and Applied Sciences, 6(3), 143-153. https://doi.org/10.30931/jetas.1028567
AMA
1.Emin A. Semigroup Construction on Polygonal Numbers. JETAS. 2021;6(3):143-153. doi:10.30931/jetas.1028567
Chicago
Emin, Ahmet. 2021. “Semigroup Construction on Polygonal Numbers”. Journal of Engineering Technology and Applied Sciences 6 (3): 143-53. https://doi.org/10.30931/jetas.1028567.
EndNote
Emin A (December 1, 2021) Semigroup Construction on Polygonal Numbers. Journal of Engineering Technology and Applied Sciences 6 3 143–153.
IEEE
[1]A. Emin, “Semigroup Construction on Polygonal Numbers”, JETAS, vol. 6, no. 3, pp. 143–153, Dec. 2021, doi: 10.30931/jetas.1028567.
ISNAD
Emin, Ahmet. “Semigroup Construction on Polygonal Numbers”. Journal of Engineering Technology and Applied Sciences 6/3 (December 1, 2021): 143-153. https://doi.org/10.30931/jetas.1028567.
JAMA
1.Emin A. Semigroup Construction on Polygonal Numbers. JETAS. 2021;6:143–153.
MLA
Emin, Ahmet. “Semigroup Construction on Polygonal Numbers”. Journal of Engineering Technology and Applied Sciences, vol. 6, no. 3, Dec. 2021, pp. 143-5, doi:10.30931/jetas.1028567.
Vancouver
1.Ahmet Emin. Semigroup Construction on Polygonal Numbers. JETAS. 2021 Dec. 1;6(3):143-5. doi:10.30931/jetas.1028567

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