KaydedilenlerDerginizi ekleyin

Dergiler / Journal of Engineering Technology and Applied Sciences / 2021 / Cilt: 6 Sayı: 3

Semigroup Construction on Polygonal Numbers

Ahmet Emin(TC MİLLİ EĞİTİM BAKANLIĞI BALIKESİR)0000-0001-7791-7181
Sayfa
143–153
Yayın Tarihi
2021-12-31
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, some information about polygonal numbers are given.
📊
Temel Bulgular & Veri:In this paper, some information about polygonal numbers are given.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Polygonal numbers · binary operation · semigroup

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.

🔖

Bu Makaleye Atıf Yap

Emin, A. (2021). Semigroup Construction on Polygonal Numbers. Journal of Engineering Technology and Applied Sciences, Cilt: 6 Sayı: 3, 143–153. https://doi.org/10.30931/jetas.1028567

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. Deza, E., Deza, M. M., “Figurate Numbers”, World Scientific Publishing, Singapore, (2012).
  2. Sparavigna, A. C., “On a generalized sum of the Mersenne Numbers”, Zenodo. http://doi.org/10.5281/zenodo.1250048, (2018).
  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. Sparavigna, A. C., “Groupoids of OEIS A003154 Numbers (star numbers or centered dodecagonal numbers)”, Zenodo. http://doi.org/10.5281/zenodo.3387054, (2019).
  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. Ateş, F., “Some new monoid and group constructions under semidirect products”, Ars. Combinatoria, 91 (2009): 203-218.
  7. Emin, A., Ateş, F., “A new monoid construction under crossed products”, Journal of Inequalities and Applications, 244(1) (2013).
  8. Howie, J. M., “Fundamentals of Semigroup Theory”, No 12, Clarendon Press, Oxford, (1995).
  9. Stover, C., Weisstein, E. W., “Groupoid” Retrieved in January, 30, 2021 from http://mathworld.wolfram.com/Groupoid.html, (2021).
  10. The On-Line Encyclopedia of Integer Sequences, OEIS Foundation Inc., http://oeis.org, (2021).
  11. 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.
  12. Ateş, F., “Some new monoid and group constructions under semidirect products”, Ars. Combinatoria, 91 (2009): 203-218.