Araştırma Makalesi

Semigroup Construction on Polygonal Numbers

Cilt: 6 Sayı: 3 31 Aralık 2021
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Semigroup Construction on Polygonal Numbers

Öz

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.

Anahtar Kelimeler

Kaynakça

  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).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2021

Gönderilme Tarihi

26 Kasım 2021

Kabul Tarihi

24 Aralık 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 6 Sayı: 3

Kaynak Göster

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. Journal of Engineering Technology and Applied Sciences. 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 (01 Aralık 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”, Journal of Engineering Technology and Applied Sciences, c. 6, sy 3, ss. 143–153, Ara. 2021, doi: 10.30931/jetas.1028567.
ISNAD
Emin, Ahmet. “Semigroup Construction on Polygonal Numbers”. Journal of Engineering Technology and Applied Sciences 6/3 (01 Aralık 2021): 143-153. https://doi.org/10.30931/jetas.1028567.
JAMA
1.Emin A. Semigroup Construction on Polygonal Numbers. Journal of Engineering Technology and Applied Sciences. 2021;6:143–153.
MLA
Emin, Ahmet. “Semigroup Construction on Polygonal Numbers”. Journal of Engineering Technology and Applied Sciences, c. 6, sy 3, Aralık 2021, ss. 143-5, doi:10.30931/jetas.1028567.
Vancouver
1.Ahmet Emin. Semigroup Construction on Polygonal Numbers. Journal of Engineering Technology and Applied Sciences. 01 Aralık 2021;6(3):143-5. doi:10.30931/jetas.1028567

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