EN
TR
Groupoid and Semigroup Construction on Isosceles Triangular Numbers
Öz
Basic information about figurative numbers is provided. Then, information about isosceles triangular numbers, one of the two-dimensional figurative numbers, is given. It also includes information about algebraic structures and their definitions. Additionally, a binary operation that includes k -isosceles triangular numbers is presented, and the study investigates whether the algebraic structures defined with this operation form a groupoid or semigroup. Also, two examples are given that satisfy the results at the end of the paper.
Anahtar Kelimeler
Kaynakça
- Deza, E., & Deza, M. M., (2012). Figurate Numbers, World Scientific Publishing Co. Pte. Ltd., Singapore.
- Jitman, S., Awachai, K., & Tanla, P., (2017). Isosceles Triangular Numbers, Mathematical Journal-Math, 62(692), 39-49.
- Jitman, S. & Punpim, J., (2021). Characterizations And Identities For Isosceles Triangular Numbers, European Journal of Pure and Applied Mathematics, 14(2), 380-395.
- Sparavigna, A. C., (2019). Groupoids of OEIS A003154 Numbers (Star Numbers or Centered Dodecagonal Numbers), Zenodo.
- Sparavigna, A. C., (2019). Groupoids of OEIS A093112 and A093069 Numbers (oblong and odd square numbers), Zenodo.
- Emin, A., (2021). Semigroup Construction on Polygonal Numbers, Journal of Engineering Technology and Applied Sciences, 6(3), 143-153.
- Emin, A., (2022). Some Algebraic Structure on Figurate Numbers, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 11(2), 604-612.
- Rosenfeld, A., (1968). An Introduction to Algebraic Structures. New York: Holden-Day.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Grup Teorisi ve Genellemeler
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
29 Kasım 2024
Gönderilme Tarihi
12 Haziran 2023
Kabul Tarihi
26 Ekim 2023
Yayımlandığı Sayı
Yıl 2024 Cilt: 11 Sayı: 2
APA
Emin, A., & Sarp, Ü. (2024). Groupoid and Semigroup Construction on Isosceles Triangular Numbers. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 11(2), 325-334. https://doi.org/10.35193/bseufbd.1313160
AMA
1.Emin A, Sarp Ü. Groupoid and Semigroup Construction on Isosceles Triangular Numbers. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2024;11(2):325-334. doi:10.35193/bseufbd.1313160
Chicago
Emin, Ahmet, ve Ümit Sarp. 2024. “Groupoid and Semigroup Construction on Isosceles Triangular Numbers”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 11 (2): 325-34. https://doi.org/10.35193/bseufbd.1313160.
EndNote
Emin A, Sarp Ü (01 Kasım 2024) Groupoid and Semigroup Construction on Isosceles Triangular Numbers. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 11 2 325–334.
IEEE
[1]A. Emin ve Ü. Sarp, “Groupoid and Semigroup Construction on Isosceles Triangular Numbers”, Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, c. 11, sy 2, ss. 325–334, Kas. 2024, doi: 10.35193/bseufbd.1313160.
ISNAD
Emin, Ahmet - Sarp, Ümit. “Groupoid and Semigroup Construction on Isosceles Triangular Numbers”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 11/2 (01 Kasım 2024): 325-334. https://doi.org/10.35193/bseufbd.1313160.
JAMA
1.Emin A, Sarp Ü. Groupoid and Semigroup Construction on Isosceles Triangular Numbers. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2024;11:325–334.
MLA
Emin, Ahmet, ve Ümit Sarp. “Groupoid and Semigroup Construction on Isosceles Triangular Numbers”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, c. 11, sy 2, Kasım 2024, ss. 325-34, doi:10.35193/bseufbd.1313160.
Vancouver
1.Ahmet Emin, Ümit Sarp. Groupoid and Semigroup Construction on Isosceles Triangular Numbers. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 01 Kasım 2024;11(2):325-34. doi:10.35193/bseufbd.1313160