On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix

Yasemin Taşyurdu; Zülküf Dilmen

doi:10.18466/cbayarfbe.302663

EN

On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix

Öz

In this study, Fibonacci sequence was defined over an arbitrary ring and its some properties are investigated. The terms of this sequence are derivated by Tridiagonal determinant of the matrix. It was shown that this sequence is periodic and their period is obtained. It was shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci sequence in arbitrary rings is periodic. It was seen that order of cyclic group generated with matrix is equal to the period of this sequence where are arbitrary elements of the ring. Also, the period of this sequence is compared with Wall number of Fibonacci sequence and it was shown that this period always was an even number.

Anahtar Kelimeler

Fibonacci Sequence,Finite Ring,Period

Kaynakça

Taşyurdu, Y.; Gültekin, İ., The Period of Fibonacci Sequences Over The Finite Field of Order p^2, New Trends in Mathematical Sciences. 2016; 4, 248-255.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Yasemin Taşyurdu

Zülküf Dilmen Bu kişi benim

Yayımlanma Tarihi

30 Mart 2017

Gönderilme Tarihi

30 Mart 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 13 Sayı: 1

DOI

https://doi.org/10.18466/cbayarfbe.302663

IZ

https://izlik.org/JA89XC48EY

Kaynak Göster

RIS / Bibtex

APA

Taşyurdu, Y., & Dilmen, Z. (2017). On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix. Celal Bayar University Journal of Science, 13(1), 165-169. https://doi.org/10.18466/cbayarfbe.302663

AMA

1.Taşyurdu Y, Dilmen Z. On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix. Celal Bayar University Journal of Science. 2017;13(1):165-169. doi:10.18466/cbayarfbe.302663

Chicago

Taşyurdu, Yasemin, ve Zülküf Dilmen. 2017. “On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix”. Celal Bayar University Journal of Science 13 (1): 165-69. https://doi.org/10.18466/cbayarfbe.302663.

EndNote

Taşyurdu Y, Dilmen Z (01 Mart 2017) On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix. Celal Bayar University Journal of Science 13 1 165–169.

IEEE

[1]Y. Taşyurdu ve Z. Dilmen, “On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix”, Celal Bayar University Journal of Science, c. 13, sy 1, ss. 165–169, Mar. 2017, doi: 10.18466/cbayarfbe.302663.

ISNAD

Taşyurdu, Yasemin - Dilmen, Zülküf. “On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix”. Celal Bayar University Journal of Science 13/1 (01 Mart 2017): 165-169. https://doi.org/10.18466/cbayarfbe.302663.

JAMA

1.Taşyurdu Y, Dilmen Z. On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix. Celal Bayar University Journal of Science. 2017;13:165–169.

MLA

Taşyurdu, Yasemin, ve Zülküf Dilmen. “On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix”. Celal Bayar University Journal of Science, c. 13, sy 1, Mart 2017, ss. 165-9, doi:10.18466/cbayarfbe.302663.

Vancouver

1.Yasemin Taşyurdu, Zülküf Dilmen. On Period of Generalized Fibonacci Sequence Over Finite Ring and Tridiagonal Matrix. Celal Bayar University Journal of Science. 01 Mart 2017;13(1):165-9. doi:10.18466/cbayarfbe.302663